Document:

EX-10.12

 Exhibit 10.12 

May 25, 2021 
 EG Acquisition Corp. 

375 Park Avenue 
 New York, NY 10152 

Re: Initial Public Offering 

Ladies and Gentlemen: 
 This letter (this
“Letter Agreement”) is being delivered to you in accordance with the Underwriting Agreement (the “Underwriting Agreement”) to be entered into by and between EG Acquisition Corp., a Delaware corporation
(the “Company”), and BTIG, LLC, as the underwriter (the “Underwriter”), relating to an underwritten initial public offering (the “Public Offering”), of 25,875,000 of the
Company’s units (including up to 3,375,000 units that may be purchased to cover over-allotments, if any) (the “Units”), each comprised of one share of the Company’s Class A common stock, par value $0.0001 per
share (the “Common Stock”), and one-third of one redeemable warrant. Each whole warrant (each, a “Warrant”) entitles the holder thereof to purchase one share of
Common Stock at a price of $11.50 per share, subject to adjustment. The Units will be sold in the Public Offering pursuant to a registration statement on Form S-1 and a prospectus (the
“Prospectus”), filed by the Company with the U.S. Securities and Exchange Commission (the “Commission”) and the Company has applied to have the Units listed on the New York Stock Exchange. Certain
capitalized terms used herein are defined in paragraph 11 hereof. 
 In order to induce the Company and the Underwriters to enter into the
Underwriting Agreement and to proceed with the Public Offering and for other good and valuable consideration, the receipt and sufficiency of which are hereby acknowledged, each of EG Sponsor LLC, a Delaware limited liability company (the
“Sponsor”) and each of the undersigned individuals, each of whom is a member of the Company’s board of directors and/or management team (each, an “Insider” and collectively, the
“Insiders”), hereby agrees with the Company as follows: 
 1. It is acknowledged and agreed that the Company shall
not enter into a definitive agreement regarding a proposed Business Combination without the prior consent of the Sponsor. The Sponsor and each Insider, with respect to itself, herself or himself, agrees that if the Company seeks stockholder approval
of a proposed initial Business Combination, then in connection with such proposed initial Business Combination, it, he or she shall (i) vote any shares of Capital Stock owned by it, him or her in favor of any proposed initial Business
Combination (including any proposals recommended by the Board in connection with such initial Business Combination) and (ii) not redeem any shares of Common Stock owned by it, him or her, as applicable, in connection with such stockholder
approval. If the Company engages in a tender offer in connection with any proposed Business Combination, the Sponsor and each Insider, with respect to itself, herself or himself, agrees that it, he or she will not seek to sell its, his or her shares
of Common Stock to the Company in connection with such tender offer. 

 2. The Sponsor and each Insider hereby agrees, with respect to itself, herself or himself,
that in the event that the Company fails to consummate a Business Combination within 24 months from the closing of the Public Offering, or such later period approved by the Company’s stockholders in accordance with the Company’s amended
and restated certificate of incorporation (the “Charter”), the Sponsor and each Insider shall take all reasonable steps to cause the Company to (i) cease all operations except for the purpose of winding up, (ii) as
promptly as reasonably possible but not more than 10 business days thereafter, subject to lawfully available funds therefor, redeem 100% of the Common Stock sold as part of the Units in the Public Offering (the “Offering
Shares”), at a per-share price, payable in cash, equal to the aggregate amount then on deposit in the Trust Account (as defined below), including interest earned on the funds held in the Trust
Account and not previously released to the Company to pay its franchise and income taxes (less up to $100,000 of interest to pay dissolution expenses), divided by the number of then outstanding Offering Shares, which redemption will completely
extinguish all Public Stockholders’ rights as stockholders (including the right to receive further liquidation distributions, if any), subject to applicable law, and (iii) as promptly as reasonably possible following such redemption,
subject to the approval of the Company’s remaining stockholders and the Company’s board of directors, dissolve and liquidate, subject in each case to the Company’s obligations under Delaware law to provide for claims of creditors and
other requirements of applicable law. The Sponsor and each Insider agrees not to propose any amendment to the Charter to (a) modify the substance or timing of the Company’s obligation to redeem 100% of the Offering Shares if the Company
does not complete a Business Combination within the time period set forth in the Charter or (b) with respect to any other provision relating to stockholders’ rights or pre-initial Business
Combination activity, unless the Company provides Public Stockholders with the opportunity to redeem their shares of Common Stock upon approval of any such amendment at a per-share price, payable in cash,
equal to the aggregate amount then on deposit in the Trust Account, including interest earned on the funds held in the Trust Account and not previously released to the Company to pay its franchise and income taxes, divided by the number of then
outstanding Offering Shares. 
 The Sponsor and each Insider, with respect to itself, herself or himself, acknowledges that it, he or she
has no right, title, interest or claim of any kind in or to any monies held in the Trust Account or any other asset of the Company as a result of any liquidation of the Company with respect to the Founder Shares held by it, him or her. The Sponsor
and each Insider hereby further waives, with respect to any shares of Common Stock held by it, him or her, if any, any redemption rights it, he or she may have in connection with the consummation of a Business Combination, including, without
limitation, any such rights available in the context of (i) a stockholder vote to approve such Business Combination, (ii) a stockholder vote to approve an amendment to the Charter to (a) modify the substance or timing of the
Company’s obligation to redeem 100% of the Offering Shares if the Company does not complete a Business Combination within the time period set forth in the Charter or (b) with respect to any other provision relating to stockholders’
rights or pre-initial Business Combination activity, or (iii) in the context of a tender offer made by the Company to purchase shares of Common Stock (although the Sponsor, the Insiders and their
respective affiliates shall be entitled to redemption and liquidation rights with respect to any Offering Shares it or they hold if the Company fails to consummate a Business Combination within the time period set forth in the Charter). 

  
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 3. The undersigned acknowledges and agrees that prior to entering into a definitive
agreement for a Business Combination with a target business that is affiliated with the undersigned or any other Insiders of the Company or their affiliates, such transaction must be approved by a majority of the Company’s disinterested
independent directors and the Company must obtain an opinion from an independent investment banking firm, which is a member of the Financial Industry Regulatory Authority, or an independent accounting firm that such Business Combination is fair to
the Company’s unaffiliated stockholders from a financial point of view. 
 4. During the period commencing on the effective date of the
Underwriting Agreement and ending 180 days after such date, the Sponsor and each Insider shall not, without the prior written consent of the Underwriter, (i) sell, offer to sell, contract or agree to sell, hypothecate, pledge, grant any option
to purchase or otherwise dispose of or agree to dispose of, directly or indirectly, or establish or increase a put equivalent position or liquidate or decrease a call equivalent position within the meaning of Section 16 of the Securities
Exchange Act of 1934, as amended (the “Exchange Act”), and the rules and regulations of the Commission promulgated thereunder, with respect to any Units, shares of Common Stock, Founder Shares, Warrants or any securities
convertible into, or exercisable, or exchangeable for, shares of Common Stock owned by it, him or her, (ii) enter into any swap or other arrangement that transfers to another, in whole or in part, any of the economic consequences of ownership
of any Units, shares of Common Stock, Founder Shares, Warrants or any securities convertible into, or exercisable, or exchangeable for, shares of Common Stock owned by it, him or her, whether any such transaction is to be settled by delivery of such
securities, in cash or otherwise, or (iii) publicly announce any intention to effect any transaction specified in clause (i) or (ii). Each of the Insiders and the Sponsor acknowledges and agrees that, prior to the effective date of any
release or waiver, of the restrictions set forth in this paragraph 4 or paragraph 8 below, the Company shall announce the impending release or waiver by press release through a major news service at least two business days before the effective date
of the release or waiver. Any release or waiver granted shall only be effective two business days after the publication date of such press release. The provisions of this paragraph will not apply if the release or waiver is effected solely to permit
a transfer not for consideration and the transferee has agreed in writing to be bound by the same terms described in this Letter Agreement to the extent and for the duration that such terms remain in effect at the time of the transfer. 

5. In the event of the liquidation of the Trust Account upon the failure of the Company to consummate its initial Business Combination within
the time period set forth in the Charter, the Sponsor (the “Indemnitor”), which for purposes of clarification shall not extend to any other shareholders, members or managers of the Sponsor, or any of the other undersigned,
agrees to indemnify and hold harmless the Company against any and all loss, liability, claim, damage and expense whatsoever (including, but not limited to, any and all legal or other expenses reasonably incurred in investigating, preparing or
defending against any litigation, whether pending or threatened) to which the Company may become subject as a result of any claim by (i) any third party for services rendered or products sold to the Company or (ii) any prospective target
business with which the Company has entered into a written letter of intent, confidentiality or other similar agreement or Business Combination agreement (a “Target”); provided, however, that such
indemnification of the Company by the Indemnitor shall (x) apply only to the extent necessary to ensure that such claims by a third party for services rendered (other than the Company’s independent public accountants) or products sold to
the Company or a 

  
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Target do not reduce the amount of funds in the Trust Account to below the lesser of (i) $10.00 per Offering Share and (ii) the actual amount per Offering Share held in the Trust Account as
of the date of the liquidation of the Trust Account, if less than $10.00 per Offering Share is then held in the Trust Account due to reductions in the value of the trust assets, less interest earned on the funds in the Trust Account which may be
withdrawn to pay franchise and income taxes, (y) shall not apply to any claims by a third party or a Target which executed a waiver of any and all rights to the monies held in the Trust Account (whether or not such waiver is enforceable) and
(z) shall not apply to any claims under the Company’s indemnity of the Underwriters against certain liabilities, including liabilities under the Securities Act of 1933, as amended (the “Securities Act”). In the
event that any such executed waiver is deemed to be unenforceable against such third party, the Indemnitor shall not be responsible to the extent of any liability for such third party claims. The Indemnitor shall have the right to defend against any
such claim with counsel of its choice reasonably satisfactory to the Company if, within 15 days following written receipt of notice of the claim to the Indemnitor, the Indemnitor notifies the Company in writing that it shall undertake such defense.

 6. To the extent that the Underwriters do not exercise their over-allotment option to purchase up to an additional 3,375,000 Units within
45 days from the date of the Prospectus (and as further described in the Prospectus), the Sponsor agrees to forfeit, at no cost, a number of Founder Shares in the aggregate equal to 843,750 multiplied by a fraction, (i) the numerator of which
is 3,375,000 minus the number of Units purchased by the Underwriters upon the exercise of their over-allotment option, and (ii) the denominator of which is 3,375,000. The forfeiture will be adjusted to the extent that the over-allotment option
is not exercised in full by the Underwriters so that the Initial Stockholders will own an aggregate of 20% of the Company’s issued and outstanding shares of Capital Stock after the Public Offering (assuming the Initial Stockholders do not
purchase any Units in the Public Offering). The Sponsor and each Insider further agree that to the extent that the size of the Public Offering is increased or decreased, the Company will effect a stock split or a stock dividend, as applicable, with
respect to the Founder Shares immediately prior to the consummation of the Public Offering in such amount as to maintain the number of Founder Shares at 20% of the sum of the total number of Ordinary Shares and Founder Shares outstanding at such
time. 
 7. The Sponsor and each Insider hereby agrees and acknowledges that: (i) the Underwriters and the Company would be irreparably
injured in the event of a breach by such Sponsor or an Insider of its, his or her obligations under paragraphs 1, 2, 3, 4, 5, 6, 8(a), 8(b) and 9, as applicable, of this Letter Agreement, (ii) monetary damages may not be an adequate remedy for
such breach and (iii) the non-breaching party shall be entitled to injunctive relief, in addition to any other remedy that such party may have in law or in equity, in the event of such breach. 

8. (a) The Sponsor and each Insider agrees that it, he or she shall not Transfer any Founder Shares (or shares of Common Stock issuable upon
conversion thereof) until the earlier of (A) three years after the completion of the Company’s initial Business Combination (or with respect to any Founder Shares transferred or distributed by the Sponsor to one of the Company’s
independent directors, one year) or (B) subsequent to the Business Combination, the date on which the Company completes a liquidation, merger, capital stock exchange, reorganization or other similar transaction that results in all of the
Company’s stockholders having the right to exchange their shares of Common Stock for cash, securities or other property (the “Founder Shares Lock-up Period”). 

  
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 (b) The Sponsor and each Insider agrees that it, he or she shall not Transfer any Private
Placement Warrants (or shares of Common Stock issued or issuable upon the exercise of the Private Placement Warrants), until three years after the completion of the Company’s initial Business Combination (the “Private Placement
Warrants Lock-up Period”, together with the Founder Shares Lock-up Period, the “Lock-up
Periods”). 
 (c) Notwithstanding the provisions set forth in paragraphs 8(a) and (b), Transfers of the Founder Shares, Private
Placement Warrants and shares of Common Stock issued or issuable upon the exercise or conversion of the Private Placement Warrants or the Founder Shares and that are held by the Sponsor, any Insider or any of their permitted transferees (that have
complied with this paragraph 8(c)), are permitted (a) to the Company’s officers or directors, any affiliates or family members of any of the Company’s officers or directors, any members of the Sponsor, or any affiliates of the
Sponsor, as well as affiliates of such members and funds and accounts advised by such members); (b) in the case of an individual, by gift to such individual’s immediate family or to a trust, the beneficiary of which is a member of such
individual’s immediate family, an affiliate of such person or to a charitable organization; (c) in the case of an individual, by virtue of laws of descent and distribution upon death of the individual; (d) in the case of an
individual, pursuant to a qualified domestic relations order; (e) by private sales or transfers made in connection with the consummation of an initial Business Combination at prices no greater than the price at which the shares or warrants were
originally purchased; (f) in the event of the Company’s liquidation prior to the completion of the Company’s initial Business Combination; (g) by virtue of the laws of Delaware or the Sponsor’s limited liability company
agreement upon dissolution of our sponsor; or (h) in the event of the Company’s liquidation, merger, capital stock exchange, reorganization or other similar transaction which results in all of the Company’s stockholders having the
right to exchange their shares of Common Stock for cash, securities or other property subsequent to the Company’s completion of an initial Business Combination; provided, however, that in the case of clauses (a) through (e) or
(g) these permitted transferees must enter into a written agreement agreeing to be bound by the transfer restrictions herein. 
 9.
Each of the Insiders agrees to be a director or officer of the Company, as applicable, until the earlier of the consummation by the Company of an initial Business Combination, the liquidation of the Company, or his or her removal, death or
incapacity. The Sponsor and each Insider represents and warrants that it, he or she has never been suspended or expelled from membership in any securities or commodities exchange or association or had a securities or commodities license or
registration denied, suspended or revoked. Each Insider’s biographical information furnished to the Company (including any such information included in the Prospectus) is true and accurate in all material respects and does not omit any material
information with respect to the Insider’s background and contains all of the information required to be disclosed pursuant to Item 401 of Regulation S-K, promulgated under the Securities Act. Each
Insider’s questionnaire furnished to the Company and the Underwriter is true and accurate in all material respects. Each Insider represents and warrants that: it, he or she is not subject to or a respondent in any legal action for, any
injunction, cease-and-desist order or order or stipulation to desist or refrain from any act or practice relating to the offering of securities in any

  
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jurisdiction; it, he or she has never been convicted of, or pleaded guilty to, any crime (i) involving fraud, (ii) relating to any financial transaction or handling of funds of another
person, or (iii) pertaining to any dealings in any securities and it, he or she is not currently a defendant in any such criminal proceeding. 

10. Except as disclosed in the Prospectus, neither the Sponsor nor any Insider, nor any affiliate of the Sponsor or any Insider, nor any
director or officer of the Company nor any affiliate of the directors and officers shall receive from the Company any finder’s fee, reimbursement, consulting fee, monies in respect of any repayment of a loan or other compensation prior to, or
in connection with any services rendered in order to effectuate, the consummation of the Company’s initial Business Combination (regardless of the type of transaction that it is), other than the following, none of which will be made from the
proceeds held in the Trust Account prior to the completion of the initial Business Combination: repayment of a loan and advances up to an aggregate of $300,000 made to the Company by the Sponsor; payment to the Sponsor for certain office space,
utilities and secretarial and administrative support as may be reasonably required by the Company for a total of $10,000 per month; reimbursement for any reasonable
out-of-pocket expenses related to identifying, investigating and consummating an initial Business Combination, and repayment of loans, if any, and on such terms as to be
determined by the Company from time to time, made by the Sponsor or any of the Company’s officers or directors to finance transaction costs in connection with an intended initial Business Combination, provided, that, if the Company does
not consummate an initial Business Combination, a portion of the working capital held outside the Trust Account may be used by the Company to repay such loaned amounts so long as no proceeds from the Trust Account are used for such repayment. Up to
$1,500,000 of such loans may be convertible into warrants at a price of $1.50 per warrant at the option of the lender. Such warrants would be identical to the Private Placement Warrants, including as to exercise price, exercisability and exercise
period. 
 11. The Sponsor and each Insider has full right and power, without violating any agreement to which it is bound (including,
without limitation, any non-competition or non-solicitation agreement with any employer or former employer), to enter into this Letter Agreement and, as applicable, to
serve as an officer and/or director on the board of directors of the Company and hereby consents to being named in the Prospectus as an officer and/or director of the Company. 

12. As used herein, (i) “Business Combination” shall mean a merger, capital stock exchange, asset acquisition, stock
purchase, reorganization or similar business combination, involving the Company and one or more businesses; (ii) “Capital Stock” shall mean, collectively, the Common Stock and the Founder Shares; (iii) “Founder
Shares” shall mean (a) the 6,468,750 shares of the Company’s Class B common stock, par value $0.0001 per share, initially issued to the Sponsor (up to 843,750 shares of which are subject to complete or partial forfeiture
by the Sponsor if the over-allotment option is not exercised in full or in part by the Underwriters); (iv) “Initial Stockholders” shall mean the Sponsor and any Insider that holds Founder Shares; (v) “Private
Placement Warrants” shall mean the Warrants to purchase up to 4,333,333 shares of Common Stock of the Company (or 4,783,333 shares of Common Stock if the over-allotment option is exercised in full by the Underwriters) that the Sponsor
has agreed to purchase for an aggregate purchase price of $4,333,333 (or $4,783,333 if the over-allotment 

  
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option is exercised in full by the Underwriters), or $1.50 per Warrant, in a private placement that shall occur simultaneously with the consummation of the Public Offering; (vi)
“Public Stockholders” shall mean the holders of securities issued in the Public Offering; (vii) “Trust Account” shall mean the trust account into which the net proceeds of the Public Offering and
certain proceeds from the sale of the Private Placement Warrants shall be deposited; and (viii) “Transfer” shall mean the (a) sale of, offer to sell, contract or agreement to sell, hypothecate, pledge, grant of any
option to purchase or otherwise dispose of or agreement to dispose of, directly or indirectly, or establishment or increase of a put equivalent position or liquidation with respect to or decrease of a call equivalent position within the meaning of
Section 16 of the Exchange Act, and the rules and regulations of the Commission promulgated thereunder with respect to, any security, (b) entry into any swap or other arrangement that transfers to another, in whole or in part, any of the
economic consequences of ownership of any security, whether any such transaction is to be settled by delivery of such securities, in cash or otherwise, or (c) public announcement of any intention to effect any transaction specified in clause
(a) or (b). 
 13. Subject to the terms and conditions of this paragraph 13, if, in connection with or prior to the closing of the
initial Business Combination, the Company proposes to raise additional capital by issuing any equity securities, or securities convertible into, exchangeable or exercisable for equity securities other than Excluded Securities (as defined below)
(such securities, “New Equity Securities”), the Company shall first make an offer of the New Equity Securities to the Sponsor in accordance with the following provisions of this paragraph 13 (the “Right of First
Offer”): 
 (a) Offer Notice. 

(i) The Company shall give written notice (the “Offering Notice”) to the Sponsor stating its bona fide
intention to offer the New Equity Securities and specifying the number of New Equity Securities and the material terms and conditions, including the price, pursuant to which the Company proposes to offer the New Equity Securities. 

(ii) The Offering Notice shall constitute the Company’s offer to sell the New Equity Securities to the Sponsor, which
offer shall be irrevocable for a period of three (3) business days (the “ROFO Notice Period”). 
 (b)
Exercise of Right of First Offer. 
 (i) Upon receipt of the Offering Notice, the Sponsor shall have until the end of
the ROFO Notice Period to offer to purchase any or all of the New Equity Securities by delivering a written notice (a “ROFO Offer Notice”) to the Company stating that it offers to purchase such New Equity Securities on the
terms specified in the Offering Notice. Any ROFO Offer Notice so delivered shall be binding upon delivery and irrevocable by the Sponsor. 

  
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 (ii) If the Sponsor does not deliver a ROFO Offer Notice during the ROFO
Notice Period or indicates, in its ROFO Offer Notice its offer to purchase some but not all of the New Equity Securities, the Sponsor shall be deemed to have waived all of the Sponsor’s rights to purchase such number of New Equity Securities
that it declined to purchase, and the Company shall thereafter be free to sell or enter into an agreement to sell such number of New Equity Securities to any third party without any further obligation to the Sponsor pursuant to this paragraph 13
within the forty-five (45) day period thereafter (and with respect to an agreement to sell, consummate such sale at any time thereafter) at a price not more favorable to the third party than those set forth in the Offering Notice. If the
Company does not sell or enter into an agreement to sell such number of New Equity Securities within such period, the rights provided hereunder shall be deemed to be revived and such New Equity Securities shall not be offered to any third party
unless first re-offered to the Sponsor in accordance with this paragraph 13. 
 (c) Excluded
Securities. For purposes hereof, the term “Excluded Securities” means any warrants issued upon the conversion of working capital loans to the Company, if any, made by the Sponsor, an affiliate of the Sponsor or any of the
Company’s officers or directors to finance transaction costs in connection with an intended initial Business Combination (up to $1,500,000 of which may be convertible at the option of the lender into warrants of the post-Business Combination
entity having the same terms as the Private Placement Warrants at a price of $1.50 per warrant), and any securities issued by the Company as consideration to any seller in the Business Combination or in satisfaction for any amounts owed by or claims
against the Company. 
 (d) Assignment of Right of First Offer. The Right of First Offer may be assigned in whole or in part by the
Sponsor to any of its members without the prior consent of the Company. Following any such assignment, the Company and any such assignee shall comply with the provisions set forth in this paragraph 13 with respect to the Right of First Offer as if
such assignee were a party hereto. 
 14. The Company will maintain an insurance policy or policies providing directors’ and
officers’ liability insurance, and each Insider shall be covered by such policy or policies, in accordance with its or their terms, to the maximum extent of the coverage available for any of the Company’s directors or officers. 

15. Notwithstanding anything that may be expressed or implied in this Letter Agreement, the obligations of the Sponsor and each Insider
hereunder shall be several and not joint. Accordingly, in the event of a breach of this Letter Agreement by the Sponsor or any Insider (the “Breaching Party”), no other person other than the Breaching Party shall have any
liability for any obligations or liabilities hereunder with respect to any claims, obligations, liabilities, or causes of action (whether in contract or in tort, in law or in equity, or granted by statute) arising out of, or in connection with, a
breach by the Breaching Party under this Letter Agreement. 
 16. This Letter Agreement constitutes the entire agreement and understanding
of the parties hereto in respect of the subject matter hereof and supersedes all prior understandings, agreements, or representations by or among the parties hereto, written or oral, to the extent they relate in any way to the subject matter hereof
or the transactions contemplated hereby. This Letter Agreement may not be changed, amended, modified or waived (other than to correct a typographical error) as to any particular provision, except by a written instrument executed by all parties
hereto. 

  
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 17. No party hereto may assign either this Letter Agreement or any of its rights, interests,
or obligations hereunder without the prior written consent of the other parties. Any purported assignment in violation of this paragraph shall be void and ineffectual and shall not operate to transfer or assign any interest or title to the purported
assignee. This Letter Agreement shall be binding on the Sponsor and each Insider and their respective successors, heirs, personal representatives, assigns and permitted transferees. 

18. Nothing in this Letter Agreement shall be construed to confer upon, or give to, any person or corporation other than the parties hereto
any right, remedy or claim under or by reason of this Letter Agreement or of any covenant, condition, stipulation, promise or agreement hereof. All covenants, conditions, stipulations, promises and agreements contained in this Letter Agreement shall
be for the sole and exclusive benefit of the parties hereto and their successors, heirs, personal representatives and assigns and permitted transferees. 

19. This Letter Agreement may be executed in any number of original or electronic counterparts and each of such counterparts shall for all
purposes be deemed to be an original, and all such counterparts shall together constitute but one and the same instrument. 
 20. The
paragraph headings herein are for convenience only and are not part of this Letter Agreement and shall not affect the interpretation thereof. 

21. This Letter Agreement shall be deemed severable, and the invalidity or unenforceability of any term or provision hereof shall not affect
the validity or enforceability of this Letter Agreement or of any other term or provision hereof. Furthermore, in lieu of any such invalid or unenforceable term or provision, the parties hereto intend that there shall be added as a part of this
Letter Agreement a provision as similar in terms to such invalid or unenforceable provision as may be possible and be valid and enforceable. 

22. This Letter Agreement shall be governed by and construed and enforced in accordance with the laws of the State of New York, without giving
effect to conflicts of law principles that would result in the application of the substantive laws of another jurisdiction. The parties hereto (i) all agree that any action, proceeding, claim or dispute arising out of, or relating in any way
to, this Letter Agreement shall be brought and enforced in the courts of New York City, in the State of New York, and irrevocably submit to such jurisdiction and venue, which jurisdiction and venue shall be exclusive and (ii) waive any
objection to such exclusive jurisdiction and venue or that such courts represent an inconvenient forum. 
 23. THE PARTIES TO THIS LETTER
AGREEMENT EACH HEREBY WAIVES, TO THE FULLEST EXTENT PERMITTED BY LAW, ANY RIGHT TO TRIAL BY JURY OF ANY CLAIM, DEMAND, ACTION OR CAUSE OF ACTION (A) ARISING UNDER THIS LETTER AGREEMENT OR (B) IN ANY WAY CONNECTED WITH OR RELATED OR
INCIDENTAL TO THE DEALINGS OF THE PARTIES HERETO IN RESPECT OF THIS LETTER AGREEMENT OR ANY OF THE TRANSACTIONS RELATED HERETO, IN EACH CASE WHETHER NOW EXISTING OR HEREAFTER ARISING, AND WHETHER 

  
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IN CONTRACT, TORT, EQUITY OR OTHERWISE. THE PARTIES TO THIS LETTER AGREEMENT EACH HEREBY AGREES AND CONSENTS THAT ANY SUCH CLAIM, DEMAND, ACTION OR CAUSE OF ACTION SHALL BE DECIDED BY COURT TRIAL
WITHOUT A JURY, AND THAT THE PARTIES TO THIS LETTER AGREEMENT MAY FILE A COPY OF THIS LETTER AGREEMENT WITH ANY COURT AS WRITTEN EVIDENCE OF THE CONSENT OF THE PARTIES HERETO TO THE WAIVER OF THEIR RIGHT TO TRIAL BY JURY. 

24. Any notice, consent or request to be given in connection with any of the terms or provisions of this Letter Agreement shall be in writing
and shall be sent by express mail or similar private courier service, by certified mail (return receipt requested), by hand delivery or electronic transmission. 

25. This Letter Agreement shall terminate on the earlier of (i) the expiration of the Lock-up
Periods or (ii) the liquidation of the Company; provided that paragraph 5 of this Letter Agreement shall survive such liquidation. 

  
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	Sincerely,
	
	EG SPONSOR LLC
		
	By:	 	/s/ Matthew Lux
		 	Name: Matthew Lux
		 	Title: Chief Operating Officer
		
		 	/s/ Gregg Hymowitz
		 	Gregg Hymowitz
		
		 	/s/ Gary Fegel
		 	Gary Fegel
		
		 	/s/ Sophia Park Mullen
		 	Sophia Park Mullen
		
		 	/s/ Louise Curbishley
		 	Louise Curbishley
		
		 	/s/ Linda Hall Daschle
		 	Linda Hall Daschle
		
		 	/s/ Jonathan Silver
		 	Jonathan Silver
		
		 	/s/ Noorsurainah (Su) Tengah
		 	Noorsurainah (Su) Tengah

 [Signature Page to Letter Agreement] 

			
	Acknowledged and Agreed:
	
	EG ACQUISITION CORP.
		
	By:	 	/s/ Gregg Hymowitz
		 	Name: Gregg Hymowitz
		 	Title: Chief Executive Officer

 [Signature Page to Letter Agreement]EX-10.13

 Exhibit 10.13 

FORWARD PURCHASE AGREEMENT 

This Forward Purchase Agreement (this “Agreement”) is entered into as of May 25, 2021 between EG Acquisition
Corp., a Delaware corporation (the “Company”) and the purchaser that is a signatory hereto (the “Purchaser”). 

WHEREAS, the Company was incorporated for the purpose of effecting a merger, capital stock exchange, asset acquisition, stock purchase,
reorganization or similar business combination with one or more businesses (a “Business Combination”); 
 WHEREAS,
the Company has filed with the U.S. Securities and Exchange Commission (the “SEC”) a draft registration statement on Form S-1 (File
No. 333-255046) (the “Registration Statement”) for its initial public offering (“IPO”) of units (the “Public Units”) at a price of
$10.00 per Public Unit (the “IPO Unit Price”), each comprised of one share of common stock of the Company, par value $0.0001 per share (the “Common Stock,” and the shares of Common Stock included in
the Public Units, the “Public Shares”), and one-third of one redeemable warrant, where each whole redeemable warrant is exercisable to purchase one share of Common Stock at an exercise
price of $11.50 per share (the “Warrants,” and the Warrants included in the Public Units, the “Public Warrants”); 

WHEREAS, following the closing of the IPO (the “IPO Closing”), the Company will seek to identify and consummate a
Business Combination, and the Company may seek to raise funds through an issuance and private placement of equity securities of the Company to be issued in connection with the consummation of such Business Combination; and 

WHEREAS, the parties wish to enter into this Agreement, pursuant to which, to the extent that the Company seeks to issue and sell equity
securities through a PIPE Transaction (as defined herein) in connection with the Company’s initial Business Combination, the Company shall first irrevocably offer to the Purchaser the opportunity to purchase, on a private placement basis
pursuant to this Agreement, Forward Purchase Securities (as defined herein) in an amount equal to no less than (a) the percentage of Public Units purchased by the Purchaser in the IPO out of the total number of Public Units sold in the IPO
(excluding any Public Units sold pursuant to the exercise of the underwriters’ over-allotment option) multiplied by (b) the total number of shares of Common Stock sold in the PIPE Transaction (including the Forward Purchase Securities
being sold pursuant to this Agreement and any other similar forward purchase agreements) (the “FPA Offering Amount”), in each case on the terms and subject to the conditions set forth herein. 

NOW, THEREFORE, in consideration of the premises, representations, warranties and the mutual covenants contained in this Agreement, and for
other good and valuable consideration, the receipt, sufficiency and adequacy of which are hereby acknowledged, the parties hereto agree as follows: 

1. Commitment. 
 1.1.
Expression of Interest. The Purchaser hereby expresses an interest to purchase up to 9.9% of the Public Units sold in the IPO (excluding units sold pursuant to the underwriters’ over-allotment option) (the “Required Public
Units”) at the IPO Unit Price (such amount referred to as the “IPO Participation”). 

 1.2. Priority. The Company hereby agrees that, if the Purchaser purchases at least
4.95% of the Required Public Units in the IPO, prior to the issuance and sale of any equity securities of the Company pursuant to a PIPE Transaction in connection with its initial Business Combination, the Company shall first irrevocably offer to
issue and sell to the Purchaser on a private placement basis pursuant to this Agreement, Forward Purchase Securities (as defined herein) in an amount equal to the FPA Offering Amount. As used herein, “PIPE Transaction” means
a private placement of equity securities of the Company in connection with the Company’s initial Business Combination to institutional accredited investors solely in their capacity as such, and not due to the unique status of an investor (or
any affiliate thereof) in relation to the Business Combination or in relation to a party thereto other than the Company, such status including but not limited to (a) an existing ownership interest in any party to the Business Combination other
than the Company, (b) an intended cornerstone interest in the post-transaction company, as evidenced by governance rights, transfer restrictions, or other terms and conditions (other than registration rights) not generally applicable to the
holders of securities of the post-transaction company, (c) an existing or intended material or strategic commercial relationship with the post-transaction company, or (d) the role of such investor (or any affiliate thereof) in the
origination of such Business Combination. 
 1.3. Offer to Sell. If the Company desires to issue and sell equity securities pursuant
to a PIPE Transaction in connection with the closing of the Company’s initial Business Combination, then no later than fifteen (15) days prior to entering into any definitive agreement binding the Company to effect (subject to any
conditions and qualifications set forth in such agreement) a Business Combination (a “Business Combination Agreement”), the Company shall give written notice to the Purchaser (an “FPA Offering
Notice”), which shall state the Company’s bona fide intention to enter into a Business Combination Agreement, and specify all relevant details of the proposed issuance of Forward Purchase Securities, including (a) the FPA
Offering Amount, (b) any conditions to the Closing of the sale and purchase of such Forward Purchase Securities not specified herein, and (c) the proposed form of any Subscription Agreement that may be required to be executed by the
Purchaser as a condition to such sale and purchase. 
 1.4. Terms of the Forward Purchase Securities. 

1.4.1. As used herein, “Forward Purchase Securities” means Shares of Common Stock (each, a “Forward
Purchase Share”) at a price of $10.00 per Forward Purchase Share. 
 1.4.2. Except as provided in
Section 3 below, following the Closing, each Forward Purchase Share shall have the same terms as a Public Share. For the avoidance of doubt, the Forward Purchase Shares do not constitute “Offering Shares” as
defined in the Amended and Restated Certificate of Incorporation of the Company (the “Certificate of Incorporation”) and, as such, do not have any rights of redemption, rights to conversion into cash, or rights to any
liquidating distributions from any funds held in the trust account established by the Company for the benefit of the Company’s public stockholders upon the IPO Closing (the “Trust Account”). 

  
 2 

 1.5. Confirmation by Purchaser. 

1.5.1. Following delivery of an FPA Offering Notice, the Company will provide the Purchaser with applicable materials and information to
evaluate whether to elect to purchase Forward Purchase Securities, including the material terms of the proposed Business Combination and any other information reasonably requested by the Purchaser with respect to the proposed Business Combination.
All such materials and information will be subject to the terms of a non-disclosure agreement to be entered between the Company and the Purchaser in accordance with applicable law (including Regulation FD
under the Securities Exchange Act of 1934, as amended (the “Exchange Act”)) and the Company’s contractual obligations; provided, that the Company shall have the right to refuse to provide any such materials or
information if, in the opinion of the Company, acting reasonably and in good faith having received the advice of counsel, the provision of such materials or information could violate applicable laws or regulations or result in any waiver of legal
privilege of the Company; and provided, further, that if the target entity’s equity or debt securities are traded on a securities exchange or over-the-counter
market, prior to providing such materials and information, the Company will first provide only the name of the potential target to a legal or compliance person designated by the Purchaser in writing as authorized to receive such information so that
the recipient can determine if it has an internal restriction on the receipt of such materials or information. 
 1.5.2. The right and
obligation of the Purchaser to purchase the Forward Purchase Securities at the Closing (defined below) is subject to, among other conditions specified below, the Purchaser delivering to the Company, no later than fifteen (15) days after receipt
of an FPA Offering Notice from the Company (or such later date as the Company may specify or agree) written notice (each, a “Confirmation”) setting forth whether it elects, in its sole discretion, to accept such offer, and
specifying the amount (the “Specified Amount”) of Forward Purchase Securities that the Purchaser is willing to subscribe for and purchase at the Closing (as defined herein); provided, that the Specified Amount shall not
exceed the FPA Offering Amount, without the prior written agreement of the Company. 
 2. Closing and Closing Conditions. 

2.1. Closing of the Sale and Purchase of Securities. The consummation and settlement of the purchase and sale of Forward Purchase
Securities hereunder (the “Closing”) shall be held on and effective as of the date and time specified by the Company in the FPA Offering Notice or pursuant to the terms of a Subscription Agreement, as applicable (the
“Closing Date”). At the Closing, the Company will issue Forward Purchase Securities to the Purchaser and in the amounts set forth in the applicable Confirmation, registered in the name of the Purchaser, against delivery of
the applicable portion of the Purchase Price in cash via wire transfer to an account specified in writing by the Company no later than three (3) business days prior to the Closing (or as otherwise provided in a Subscription Agreement). 

  
 3 

 2.2. Conditions to the Company’s Closing Obligations. The obligation of the
Company to issue and sell the Forward Purchase Securities to the Purchaser at the Closing under this Agreement shall be subject to the fulfillment, at or prior to the Closing, of each of the following conditions, any of which, to the extent
permitted by applicable law, may be waived by the Company: 
 2.2.1. Offering Notice and Confirmation. The Company shall have
delivered to the Purchaser an FPA Offering Notice, and the Purchaser shall have delivered to the Company, the Confirmation, duly executed by the Purchaser. 

2.2.2. Subscription Agreement. To the extent required by the Company, the Purchaser shall have executed and delivered to the Company a
subscription agreement in form and substance identical to (a) that executed and delivered by the Purchaser hereunder and (b) that executed and delivered by any other persons concurrently subscribing for equity securities in the Company on
a private placement basis, subject to such changes as may be required thereto so as to reflect, and not be inconsistent with, the terms and conditions of this Agreement (a “Subscription Agreement”). Subject to this
Section 2.2, the Subscription Agreement between the Company and the Purchaser shall be on terms no less favorable to the Purchaser than those terms offered to any Other PIPE Investor (as defined below) who purchases a
number of shares in the PIPE Transaction equal to or less than the number of Forward Purchase Securities purchased by the Purchaser hereunder, and the terms in the Subscription Agreement, when, as and if executed, shall supersede the terms set forth
in this Agreement. 
 2.2.3. Business Combination Closing. The Business Combination shall be consummated substantially concurrently
with the purchase of the Forward Purchase Securities. 
 2.2.4. Representations and Warranties Correct. The representations and
warranties made by the Purchaser in Section 6.1 hereof shall be true and correct in all material respects when made and shall be true and correct in all material respects on and as of the Closing Date (unless they
specifically speak as of another date in which case they shall be true and correct in all material respects as of such date) with the same force and effect as if they had been made on and as of said date. 

2.2.5. Performance of Covenants. All covenants, agreements and conditions contained in this Agreement to be performed by the Purchaser
on or prior to the Closing Date shall have been performed or complied with in all material respects. 
 2.2.6. No Injunction. No
order, writ, judgment, injunction, decree, determination, or award shall have been entered by or with any governmental, regulatory, or administrative authority or any court, tribunal, or judicial, or arbitral body, and no other legal restraint or
prohibition shall be in effect, preventing the purchase by the Purchaser of the Forward Purchase Securities. 
 2.2.7. Additional
Conditions. All other conditions to the issuance and sale of the Forward Purchase Securities under this Agreement as may be specified by the Company in the FPA Offering Notice or pursuant to the terms of a Subscription Agreement, as applicable,
shall have been satisfied. 

  
 4 

 2.3. Conditions to the Purchaser’s Closing Obligations. The obligation of the
Purchaser to purchase Forward Purchase Securities at the Closing under this Agreement shall be subject to the fulfillment, at or prior to the Closing, of each of the following conditions, any of which, to the extent permitted by applicable law, may
be waived by the Purchaser: 
 2.3.1. Confirmation and Purchaser Joinders. The Purchaser shall have delivered to the Company the
Confirmation, duly executed by the Purchaser. 
 2.3.2. Board Approval of Business Combination. The Business Combination shall have
been approved by a majority of the members, and a majority of the independent directors, of the board of directors of the Company (the “Board”). 

2.3.3. Business Combination Closing. The Business Combination shall be consummated substantially concurrently with the purchase of the
Forward Purchase Securities. 
 2.3.4. Blue Sky. The Company shall have obtained all necessary “blue sky” law permits and
qualifications, or secured an exemption therefrom, required by any state for the offer and sale of the Forward Purchase Securities. 

2.3.5. Representations and Warranties Correct. The representations and warranties made by the Company in
Section 6.2 hereof shall be true and correct in all material respects when made and shall be true and correct in all material respects on and as of the Closing Date (unless they specifically speak as of another date in
which case they shall be true and correct in all material respects as of such date) with the same force and effect as if they had been made on and as of said date. 

2.3.6. Covenants. All covenants, agreements and conditions contained in this Agreement to be performed by the Company on or prior to
the Closing Date shall have been performed or complied with in all material respects. 
 2.3.7. No Injunction. No order, writ,
judgment, injunction, decree, determination, or award shall have been entered by or with any governmental, regulatory, or administrative authority or any court, tribunal, or judicial, or arbitral body, and no other legal restraint or prohibition
shall be in effect, preventing the purchase by the Purchaser of the Forward Purchase Securities. 
 2.3.8. Additional Conditions.
All other conditions to the purchase of the Forward Purchase Securities under this Agreement as may be specified by the Company in the FPA Offering Notice or pursuant to the terms of a Subscription Agreement, as applicable, shall have been
satisfied. 
 3. Restrictions on Transfer; Registration Rights. 

3.1. Securities Law Restrictions. The Forward Purchase Securities are being offered and sold pursuant to an exemption from the
registration requirements of the Securities Act of 1933, as amended (the “Securities Act”), will be “restricted securities” within the meaning of Rule 144(a)(3) under the Securities Act, and can be offered, sold or
transferred only 

  
 5 

 
pursuant to registration under the Securities Act or an available exemption from registration under the Securities Act. The Purchaser hereby agrees not to offer, sell, or transfer all or any part
of the Forward Purchase Securities unless, prior thereto (a) a registration statement on the appropriate form under the Securities Act and applicable state securities laws with respect to such Forward Purchase Securities proposed to be
transferred shall then be effective or (b) the Company has received an opinion of counsel for the Company that such registration is not required because such transaction is exempt from registration under the Securities Act and the rules
promulgated by the SEC thereunder and under all applicable state securities laws. All certificates representing Forward Purchase Securities shall have endorsed thereon a legend substantially as follows: 

“THE SECURITIES REPRESENTED HEREBY HAVE NOT BEEN REGISTERED UNDER THE SECURITIES ACT OF 1933, AS AMENDED, OR ANY STATE SECURITIES LAWS AND
NEITHER THE SECURITIES NOR ANY INTEREST THEREIN MAY BE OFFERED, SOLD, TRANSFERRED, PLEDGED OR OTHERWISE DISPOSED OF EXCEPT PURSUANT TO AN EFFECTIVE REGISTRATION STATEMENT UNDER SUCH ACT OR SUCH LAWS OR AN AVAILABLE EXEMPTION FROM REGISTRATION UNDER
SUCH ACT AND SUCH LAWS.” 
 3.2. Registration Rights. The Company hereby confirms and agrees that the Purchaser and any
subsequent holder of any Forward Purchase Securities sold and purchased hereunder will be entitled to registration rights with respect to such Forward Purchase Securities on substantially the same terms, if any, offered to any purchaser in the PIPE
Transaction (an “Other PIPE Investor”) who purchases a number of shares in the PIPE Transaction equal to or less than the number of Forward Purchase Securities purchased by the Purchaser hereunder (the
“Registration Rights Agreement”), provided that the Purchaser enters into any transfer or lock-up agreement executed by any Other PIPE Investor who purchases a number of shares in the
PIPE Transaction equal to or less than the number of Forward Purchase Securities purchased by the Purchaser hereunder. 
 3.3. No Short
Sales. The Purchaser hereby agrees that neither it, nor any person or entity acting on its behalf or pursuant to any understanding with it, will engage in any Short Sales with respect to securities of the Company prior to the Business
Combination closing. For purposes of this Section 3.3, “Short Sales” shall include, without limitation, all “short sales” as defined in Rule 200 promulgated under Regulation SHO under the
Exchange Act, and all types of direct and indirect stock pledges (other than pledges in the ordinary course of business as part of prime brokerage arrangements), forward sale contracts, options, puts, calls, swaps and similar arrangements (including
on a total return basis), and sales and other transactions through non-U.S. broker dealers or foreign regulated brokers. Notwithstanding the foregoing Section 3.3, nothing shall
restrict the Purchaser or its affiliates from engaging in any Short Sales with respect to securities of the Company in the ordinary course of its public markets investment and trading activities, provided that such activities are conducted by
employees, officers, directors, agents or consultants of the Purchaser or its affiliates that: (a) are effectively walled off by appropriate “ethical wall” information barriers in accordance with the Purchaser’s internal
policies, procedures and guidelines, or (b) are not on the deal team of the Purchaser involved with this Agreement and (i) have not had and will not have access to any non-public information
concerning the Company, and (ii) have not been and will not be given advice with respect to transacting in securities of the Company by any person on the deal team of the Purchaser involved with this Agreement. 

  
 6 

 4. Additional Agreements and Acknowledgements. 

4.1. No Vote on Business Combination. The Purchaser acknowledges and agrees that if the Company seeks stockholder approval of a
proposed Business Combination, the Forward Purchase Securities shall not be issued and outstanding as of the record date for any stockholder meeting at which such vote shall be held and, as such, none of the Forward Purchase Securities shall be
entitled to vote at any such meeting on the Business Combination or any other matter on which a vote is held thereat. 
 4.2. No Rights
to Redemption or Liquidating Distributions. The Purchaser acknowledges and agrees that the issuance and sale of the Forward Purchase Securities to the Purchaser, if any, is pursuant to a private placement of such securities and not pursuant to
the IPO (and as such, no Forward Purchase Securities constitute “Offering Shares” as defined in the Certificate of Incorporation), and is conditioned upon the substantially concurrent closing of a Business Combination. As such, the
Purchaser further acknowledges and agrees that (a) neither the Purchaser nor any other holder of any Forward Purchase Securities is entitled to participate with respect to any Forward Purchase Securities in any tender offer conducted by the
Company in connection with any Business Combination, (b) neither the Purchaser nor any other holder of any Forward Purchase Securities is entitled to elect to have any such Forward Purchase Securities converted into or redeemed for cash in
connection with any Business Combination or any amendment of the Certificate of Incorporation, and (c) neither the Purchaser nor any other holder of any Forward Purchase Securities is entitled to participate with respect to any Forward Purchase
Securities in any liquidating distributions from the Trust Account. 
 4.3. Waiver of Claims Against Trust. The Purchaser hereby
acknowledges that it is aware that the Company has established the Trust Account for the benefit of the Company’s public stockholders upon the IPO Closing. The Purchaser hereby agrees that it has no right, title, interest or claim of any kind
in or to any monies held in the Trust Account, except for redemption and liquidation rights, if any, that the Purchaser may have in respect of any Public Shares that may be held by the Purchaser from time to time. The Purchaser hereby agrees that it
shall have no right of set-off or any right, title, interest or claim of any kind (“Claim”) to, or to any monies in the Trust Account, and hereby irrevocably waives any Claim to, or to
any monies in, the Trust Account that it may have now or in the future, except for redemption and liquidation rights, if any, that the Purchaser may have in respect of any Public Shares held by the Purchaser from time to time. In the event the
Purchaser has any Claim against the Company under this Agreement, the Purchaser shall pursue such Claim solely against the Company and its assets outside the Trust Account and not against the property or any monies in the Trust Account. 

4.4. Disclosure. The Purchaser hereby acknowledges and consents to the disclosure by the Company of the existence and terms of this
Agreement, including without limitation in any confidential or public filing made with the SEC, and the inclusion of a copy of this Agreement as an exhibit to any such filing. The Company shall (a) within four (4) business days following
the IPO Closing, file with the SEC a Current Report on Form 8-K, disclosing the 

  
 7 

 
entry into this Agreement and attaching a copy of this Agreement as an Exhibit thereto, unless previously filed with the SEC, and (b) within one (1) business day following the later of
the execution and delivery of a Confirmation hereunder, or the entry into one or more Subscription Agreements as may be required by the Company pursuant hereto, issue one or more press releases or file with the SEC a Current Report on Form 8-K disclosing all material terms of the transactions contemplated hereby, the Business Combination and any other material, nonpublic information that the Company has provided to the Purchaser at any time prior to
such filing. 
 5. Termination. 

5.1. This Agreement may be terminated between the Company and the Purchaser at any time prior to the Closing by mutual written consent of the
Company and the Purchaser, and shall terminate automatically without further action by any party if, prior to the Closing: 
 5.1.1. A
Business Combination is consummated by the Company without the issuance and sale by the Company of equity securities through a PIPE Transaction in connection with such Business Combination; 

5.1.2. The Purchaser does not deliver to the Company a Confirmation within the time specified hereby following delivery of an FPA Offering
Notice by the Company to the Purchaser; 
 5.1.3. The Company does not consummate a Business Combination on or prior to the date that is 24
months following the IPO Closing, or the Purchaser is otherwise liquidated or dissolved; 
 5.1.4. The Purchaser or the Company becomes
subject to any voluntary or involuntary petition under the United States federal bankruptcy laws or any state insolvency law, in each case which is not withdrawn within sixty (60) days after being filed, or a receiver, fiscal agent or similar
officer is appointed by a court for business or property of such party, in each case which is not removed, withdrawn or terminated within sixty (60) days after such appointment. 

5.2. In the event of any termination of this Agreement pursuant to this Section 5, any amount of the Purchase Price
paid by the Purchaser prior to such termination shall be promptly returned to the Purchaser (without interest), and thereafter this Agreement shall forthwith become null and void and have no effect, without any liability on the part of any party and
all rights and obligations of each party shall cease; provided, however, that nothing contained in this Section 5 shall relieve any party from liabilities or damages arising out of any fraud or willful breach by such party
prior to such termination of any of its representations, warranties, covenants or agreements contained in this Agreement. 

  
 8 

 6. Representations and Warranties. 

6.1. Representations and Warranties of Purchaser. Except for the specific representations and warranties contained in this
Section 6.1 and in any Subscription Agreement, if any, as may be delivered pursuant hereto, none of the Purchaser or any person acting on behalf of the Purchaser or any affiliate of the Purchaser (the “Purchaser
Parties”) has made, makes or shall be deemed to make any other express or implied representation or warranty with respect to the Purchaser or this offering, and the Purchaser Parties disclaim any such representation or warranty. The
Purchaser hereby represents and warrants to the Company as follows: 
 6.1.1. Organization and Authority. The Purchaser is duly
organized, validly existing and in good standing under the laws of the jurisdiction of its organization and has all requisite power and authority necessary to carry out the transactions contemplated by this Agreement. All entity action on the part
of the Purchaser necessary for the authorization, execution, delivery, and performance of this Agreement by the Purchaser and the consummation by the Purchaser of the transactions contemplated hereby has been taken. This Agreement constitutes the
valid and legally binding obligation of the Purchaser, enforceable against the Purchaser in accordance with its terms, except as such enforceability may be limited by applicable bankruptcy, insolvency, fraudulent conveyance or similar laws affecting
the enforcement of creditors’ rights generally and subject to general principles of equity (regardless of whether enforcement is sought in a proceeding at law or in equity). 

6.1.2. No Conflicts or Consents. The execution and delivery of this Agreement by the Purchaser, and the performance of this Agreement
and the consummation by the Purchaser of the transactions contemplated hereby do not violate, conflict with or constitute a default under (a) the organizational documents of the Purchaser, (b) any agreement, indenture or instrument to
which the Purchaser is a party, (c) any law, statute, rule or regulation to which the Purchaser is subject, or (d) any agreement, order, judgment or decree to which the Purchaser is subject. No governmental, administrative or other
third-party consents or approvals are required, necessary or appropriate on the part of the Purchaser in connection with the transactions contemplated by this Agreement. 

6.1.3. No Adverse Actions. There are no actions, suits, investigations or proceedings pending, threatened against or affecting the
Purchaser which (a) seek to restrain, enjoin, prevent the consummation of or otherwise affect the transactions contemplated by this Agreement or (b) question the validity or legality of any of such transactions or seek to recover damages
or to obtain other relief in connection with any such transactions. 
 6.1.4. Adequacy of Funds. At the time of the Closing, the
Purchaser will have available to it sufficient funds to satisfy its obligations under this Agreement. 
 6.1.5. No Brokers. No
broker, finder or similar intermediary has acted for or on behalf of the Purchaser or any of its respective affiliates in connection with this Agreement or the transactions contemplated hereby and no broker, finder, agent or similar intermediary is
entitled to any broker’s, finder’s or similar fee or other commission in connection therewith. 
 6.1.6. Experience, Financial
Capability and Suitability. The Purchaser is: (a) sophisticated in financial and tax matters and is able to evaluate the risks and benefits of the investment in the Forward Purchase Securities and (b) able to bear the economic and tax
risk of its investment in the Forward Purchase Securities for an indefinite period of time because the Forward Purchase Securities have not been registered under the Securities Act and therefore cannot be sold unless subsequently registered under
the Securities Act or an exemption from 

  
 9 

 
such registration is available. The Purchaser is capable of evaluating the merits and risks of its investment in the Company and has the capacity to protect its own interests. The Purchaser must
bear the economic and tax risk of this investment until the Forward Purchase Securities are sold pursuant to an effective registration statement under the Securities Act or an exemption from such registration available with respect to such sale. The
Purchaser is able to bear the economic and tax risks of an investment in the Forward Purchase Securities and to afford a complete loss of the Purchaser’s investment in the Forward Purchase Securities. 

6.1.7. Access to Information; Independent Investigation. Prior to the execution of this Agreement by the Purchaser, the Purchaser has
had the opportunity to ask questions of and receive answers from representatives of the Company concerning an investment in the Company, as well as the finances, operations, business and prospects of the Company, and the opportunity to obtain
additional information to verify the accuracy of all information so obtained. In determining whether to make this investment, the Purchaser has relied solely on the Purchaser’s own knowledge and understanding of the Company and its business
based upon the Purchaser’s own due diligence investigation and the information furnished pursuant to this paragraph. 
 6.1.8.
Accredited Investor. The Purchaser is an “accredited investor” as such term is defined in Rule 501(a) of Regulation D under the Securities Act and acknowledges the sale contemplated hereby is being made in reliance on a private
placement exemption applicable to “accredited investors” or similar exemptions under federal and state law. 
 6.1.9.
Investment Purposes. The Purchaser is purchasing the Forward Purchase Securities solely for investment purposes and not with a view towards the further distribution or dissemination thereof. The Purchaser did not decide to enter into this
Agreement as a result of any general solicitation or general advertising within the meaning of Rule 502 under the Securities Act. 

6.1.10. Certain Acknowledgments. The Purchaser understands that (a) no federal or state agency has passed upon or made any
recommendation or endorsement of the offering of the Forward Purchase Securities; (b) no public market now exists for the Forward Purchase Securities, and the Company has made no assurances that a public market will ever exist for the Forward
Purchase Securities; and (c) its agreement to purchase the Forward Purchase Securities involves a high degree of risk which could cause the Purchaser to lose all or part of its investment. 

6.1.11. Restrictions on Transfer; Shell Company. The Purchaser understands that (A) the Forward Purchase Securities are being
offered in a transaction not involving a public offering within the meaning of the Securities Act, (B) the Forward Purchase Securities will be “restricted securities” within the meaning of Rule 144(a)(3) under the Securities Act and
any certificates representing the Forward Purchase Securities will contain a legend in respect of such restrictions, (C) the Forward Purchase Securities can be offered, sold or transferred only pursuant to registration under the Securities Act
or an available exemption from such registration, and as a condition precedent to any such transfer, the Purchaser may be required to deliver to the Company an opinion of counsel satisfactory to the Company, and (D) because the Company is a
shell company, Rule 144 may not be available to the Purchaser for the resale of the Forward Purchase Securities until one (1) year following the filing of a Form 8-K announcing the consummation of the
Business Combination. 

  
 10 

 6.1.12. Residence. The Purchaser’s principal place of business is the office or
offices located at the address of the Purchaser set forth on the signature page to this Agreement executed by the Purchaser. 
 6.1.13.
Affiliation of Certain FINRA Members. The Purchaser is neither a person associated nor affiliated with any underwriter of the IPO or, to its actual knowledge, any other member of the Financial Industry Regulatory Authority
(“FINRA”) that participated in the IPO. 
 6.1.14. Non-Reliance.
Except for the specific representations and warranties expressly made by the Company in Section 6.2 of this Agreement and in any Subscription Agreement, if any, as may be delivered pursuant hereto, the Purchaser has not
relied and is not relying upon any other representations or warranties that may have been made by any of the Company Parties (defined below) in connection with the transactions contemplated by this Agreement. 

6.2. Representations and Warranties of the Company. Except for the specific representations and warranties contained in this
Section 6.2 and in any Subscription Agreement, if any, as may be delivered pursuant hereto, none of the Company, any person on behalf of the Company or any of the Company’s other affiliates (collectively, the
“Company Parties”) has made, makes or shall be deemed to make any other express or implied representation or warranty with respect to the Company, this offering, the IPO or a potential Business Combination, and the Company
Parties disclaim any such representation or warranty. The Company hereby represents and warrants to the Purchaser and agrees with the Purchaser as follows: 

6.2.1. Organization and Authority. The Company is duly organized, validly existing and in good standing under the laws of the state of
Delaware and has all requisite power and authority necessary to carry out the transactions contemplated by this Agreement. All entity action on the part of the Company necessary for the authorization, execution, delivery, and performance of this
Agreement by the Company and the consummation by the Company of the transactions contemplated hereby has been taken. This Agreement constitutes the valid and legally binding obligation of the Company, enforceable against the Company in accordance
with its terms, except as such enforceability may be limited by applicable bankruptcy, insolvency, fraudulent conveyance or similar laws affecting the enforcement of creditors’ rights generally and subject to general principles of equity
(regardless of whether enforcement is sought in a proceeding at law or in equity). 
 6.2.2. No Conflicts or Consents. The
execution, delivery and performance of this Agreement and the consummation by the Company of the transactions contemplated hereby do not violate, conflict with or constitute a default under (a) the organizational documents of the Company,
(b) any agreement, indenture or instrument to which the Company is a party, (c) any law, statute, rule or regulation to which the Company is subject, or (d) any agreement, order, judgment or decree to which the Company is subject.
Assuming the accuracy of the representations and warranties made by the Purchaser in this Agreement, no 

  
 11 

 
governmental, administrative or other third-party consents or approvals are required, necessary or appropriate on the part of the Company in connection with the transactions contemplated by this
Agreement, other than such state “blue sky,” FINRA and New York Stock Exchange consents and approvals as may be required. 

6.2.3. No Adverse Actions. There are no actions, suits, investigations or proceedings pending, threatened against or affecting the
Company which (a) seek to restrain, enjoin, prevent the consummation of or otherwise affect the transactions contemplated by this Agreement or (b) question the validity or legality of any such transactions or seek to recover damages or to
obtain other relief in connection with any such transactions. 
 6.2.4. Title to Securities. Upon issuance in accordance with, and
payment pursuant to, the terms hereof, the Forward Purchase Securities will be duly and validly issued, fully paid and non-assessable, as applicable. Upon issuance in accordance with, and payment by or on
behalf of the Purchaser pursuant to, the terms hereof, the Purchaser will have or receive good title to such Forward Purchase Securities, free and clear of all liens, claims and encumbrances of any kind, other than (a) transfer restrictions
under federal and state securities laws, and (b) liens, claims or encumbrances imposed due to the actions of the Purchaser. 
 6.2.5.
No General Solicitation. No form of general solicitation or general advertising within the meaning of Regulation D of the Securities Act was used by the Company or any of its representatives in connection with the offer and sale of the
Forward Purchase Securities. 
 6.2.6. No Disqualifying Event. No “bad actor” disqualifying event described in Rule
506(d)(1)(i)-(viii) of the Securities Act (a “Disqualification Event”) is applicable to the Company or, to the Company’s knowledge, any Company Covered Person (as defined below), except for a Disqualification Event as to
which Rule 506(d)(2)(ii-iv) or (d)(3), is applicable. “Company Covered Person” means, with respect to the Company as an “issuer” for purposes of Rule 506 promulgated under the
Securities Act, any Person listed in the first paragraph of Rule 506(d)(1). 
 6.2.7. No Brokers. No broker, finder or similar
intermediary has acted for or on behalf of the Company or any of its respective affiliates in connection with this Agreement or the transactions contemplated hereby and no broker, finder, agent or similar intermediary is entitled to any
broker’s, finder’s or similar fee or other commission in connection therewith. 
 6.2.8.
Non-Reliance. Except for the specific representations and warranties expressly made by the Purchaser in Section 6.1 and in any Subscription Agreement, if any, as may be
delivered pursuant hereto, the Company has not relied and is not relying upon any other representations or warranties that may have been made by any of the Purchaser Parties in connection with the transactions contemplated by this Agreement. 

7. General. 
 7.1.
Further Assurances. Each party agrees to execute such further instruments and to take such further action as may reasonably be necessary to carry out the intent of this Agreement. 

  
 12 

 7.2. Notices. All notices and other communications given or made pursuant to this
Agreement shall be in writing and shall be deemed effectively given upon the earlier of actual receipt, or (a) personal delivery to the party to be notified, (b) when sent, if sent by electronic mail during normal business hours of the
recipient, and if not sent during normal business hours, then on the recipient’s next business day, (c) five (5) business days after having been sent by registered or certified mail, return receipt requested, postage prepaid, or
(d) one (1) business day after deposit with a nationally recognized overnight courier, freight prepaid, specifying next business day delivery, with written verification of receipt. All communications to the Purchaser shall be sent to the
Purchaser at the address set forth on the signature page to this Agreement or to such other address as the Purchaser may specify by written notice to the Company; and all communications to the Company shall be sent to the following address or to
such other address as the Company may specify by written notice to the Purchaser: 
 EG Acquisition Corp. 

375 Park Avenue, 24th Floor 

New York, NY 10152 
 Attn: Gregg
S. Hymowitz 
 with a copy to the Company’s counsel at: 

Willkie Farr & Gallagher LLP 

787 Seventh Avenue 
 New York, NY
10019 
 Attn: Steven A. Seidman; William H. Gump; Sean M. Ewen 

7.3. Entire Agreement. This Agreement, together with the Registration Rights Agreement (if any) and any other agreements that are
delivered pursuant hereto or referenced herein, constitute the entire agreement and understanding of the parties hereto in respect of its subject matter and supersedes all prior understandings, agreements or representations by or among the parties
hereto, written or oral, to the extent they relate in any way to the subject matter hereof or the transactions contemplated hereby. 
 7.4.
Amendments; Waivers. The terms and provisions of this Agreement as to the Purchaser may be modified or amended only by written agreement by the Company and the Purchaser. The terms and provisions of this Agreement may be waived only by
written document executed by the party entitled to the benefits of such terms or provisions. No such waiver shall be deemed to be or shall constitute a waiver or consent with respect to any other terms or provisions of this Agreement, and any such
waiver shall be effective only in the specific instance and for the purpose for which it was given and shall not constitute a continuing waiver. 

7.5. Assignment. The rights and obligations under this Agreement may not be assigned by any of the parties hereto without the prior
written consent of the other party, except as expressly provided herein. 
 7.6. No Third-Party Beneficiaries. Nothing in this
Agreement shall be construed to create any rights or obligations except among the parties hereto, and no person or entity shall be regarded as a third-party beneficiary of this Agreement. 

  
 13 

 7.7. Governing Law; Jurisdiction. This Agreement and the rights and obligations of
the parties hereunder shall be construed in accordance with and governed by the laws of the State of New York applicable to contracts wholly performed within the borders of such state, without giving effect to the conflict of law principles thereof.
Each party hereby agrees that any action, proceeding or claim against it arising out of or relating in any way to this Agreement shall be brought and enforced in the courts of the State of New York or the United States District Court for the
Southern District of New York, irrevocably submits to such jurisdiction, and waives any objection that such courts represent an inconvenient forum. 

7.8. Severability. In the event that any court of competent jurisdiction shall determine that any provision, or any portion thereof,
contained in this Agreement shall be unreasonable or unenforceable in any respect, then such provision shall be deemed limited to the extent that such court deems it reasonable and enforceable, and as so limited shall remain in full force and
effect. In the event that such court shall deem any such provision, or portion thereof, wholly unenforceable, the remaining provisions of this Agreement shall nevertheless remain in full force and effect. 

7.9. No Waiver of Rights, Powers and Remedies. No failure or delay by a party hereto in exercising any right, power or remedy under
this Agreement, and no course of dealing between any parties hereto, shall operate as a waiver of any such right, power or remedy of such party. No single or partial exercise of any right, power or remedy under this Agreement by a party hereto, nor
any abandonment or discontinuance of steps to enforce any such right, power or remedy, shall preclude such party from any other or further exercise thereof or the exercise of any other right, power or remedy hereunder. The election of any remedy by
a party hereto shall not constitute a waiver of the right of such party to pursue other available remedies. No notice to or demand on a party not expressly required under this Agreement shall entitle the party receiving such notice or demand to any
other or further notice or demand in similar or other circumstances or constitute a waiver of the rights of the party giving such notice or demand to any other or further action in any circumstances without such notice or demand. 

7.10. Survival of Representations and Warranties. All representations and warranties made by the parties hereto in this Agreement or in
any other agreement, certificate or instrument provided for or contemplated hereby, shall survive the execution and delivery hereof and any investigations made by or on behalf of any of the parties. 

7.11. Headings and Captions. The headings and captions of the various subdivisions of this Agreement are for convenience of reference
only and shall in no way modify or affect the meaning or construction of any of the terms or provisions hereof. 
 7.12.
Counterparts. This Agreement may be executed in one or more counterparts, all of which when taken together shall be considered one and the same agreement. In the event that any signature is delivered by facsimile transmission or any other
form of electronic delivery, such signature shall create a valid and binding obligation of the party executing (or on whose behalf such signature is executed) with the same force and effect as if such signature page were an original thereof. 

[Signature Page Follows] 

  
 14 

 IN WITNESS WHEREOF, the undersigned have executed this Agreement effective as of the
date first set forth above. 
  

			
	COMPANY:
	
	EG ACQUISITION CORP.
		
	By:	 	/s/ Gregg Hymowitz
		 	Name: Gregg Hymowitz
		 	Title: Chief Executive Officer

 [Signature Page to Forward Purchase Agreement] 

 
			
	PURCHASER:
	
	Riverview Group LLC
	By: Integrated Holding Group LP, its Managing Member
	By: Millennium Management LLC, its General Partner

  

			
	By:	 	/s/ Mark Meskin
		 	Name: Mark Meskin
		 	Title: Chief Trading Officer
		 	 Address for Notices:
 399 Park Ave, New York,
NY 10022

 [Signature Page to Forward Purchase Agreement]

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