Document:

Exhibit 10.5

 

MONTES ARCHIMEDES ACQUISITION CORP.

724 Oak Grove, Suite 130

Menlo Park, CA 94025

 

October 6, 2020

 

Patient Square Capital LP

724 Oak Grove, Suite 130

Menlo Park, CA 94025

 

Re:  Administrative Support
Agreement

 

Ladies and Gentlemen:

 

This letter agreement by and between Montes
Archimedes Acquisition Corp. (the “Company”) and Patient Square Capital LP (“PSC”), dated as of the date
hereof, will confirm our agreement that, commencing on the date the securities of the Company are first listed on the Nasdaq Capital
Market (the “Listing Date”), pursuant to a Registration Statement on Form S-1 and prospectus filed with the Securities
and Exchange Commission (the “Registration Statement”) and continuing until the earlier of the consummation by the
Company of an initial business combination or the Company’s liquidation (in each case as described in the Registration Statement)
(such earlier date hereinafter referred to as the “Termination Date”):

 

		i.	PSC shall make available, or cause to be made available, to the Company, at 724 Oak Grove, Suite 130, Menlo Park, CA 94025
(or any successor location of PSC), certain office space, utilities and secretarial and administrative support as may be reasonably
required by the Company. In exchange therefor, the Company shall pay PSC the sum of $10,000 per month on the Listing Date and continuing
monthly thereafter until the Termination Date; and

 

		ii.	PSC hereby irrevocably waives any and all right, title, interest, causes of action and claims of any kind as a result of, or
arising out of, this letter agreement (each, a “Claim”) in or to, and any and all right to seek payment of any amounts
due to it out of, the trust account established for the benefit of the public stockholders of the Company and into which substantially
all of the proceeds of the Company’s initial public offering will be deposited (the “Trust Account”), and hereby
irrevocably waives any Claim it may have in the future, which Claim would reduce, encumber or otherwise adversely affect the Trust
Account or any monies or other assets in the Trust Account, and further agrees not to seek recourse, reimbursement, payment or
satisfaction of any Claim against the Trust Account or any monies or other assets in the Trust Account for any reason whatsoever.

 

This letter agreement constitutes 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.

 

This letter agreement may not be amended,
modified or waived as to any particular provision, except by a written instrument executed by the parties hereto.

 

     

     

    

 

No party hereto may assign either this letter
agreement or any of its rights, interests, or obligations hereunder without the prior written approval of the other party. 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 constitutes the entire
relationship of the parties hereto, and any litigation between the parties (whether grounded in contract, tort, statute, law or
equity) shall be governed by, construed in accordance with, and interpreted pursuant to the laws of the State of New York, without
giving effect to its choice of laws principles.

 

[Signature Page Follows]

 

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	 	Very truly yours,
	 	 
	 	 
	 	MONTES ARCHIMEDES ACQUISITION CORP.
	 	 
	 	 
	 	By:	/s/ Maria C. Walker
	 	 	Name:	Maria C. Walker
	 	 	Title:	Chief Financial Officer

 

 

	AGREED TO AND ACCEPTED BY:	 
	 	 
	PATIENT SQUARE CAPITAL LP	 
	 	 
	 	 
	By:	/s/ Maria C. Walker	 	 
	 	Name:	Maria C. Walker	 	 
	 	Title:	Chief Financial Officer	 	 

 

[Signature Page to Administrative
Support Agreement]Exhibit 10.8

 

October 6, 2020

 

Montes Archimedes Acquisition Corp.

724 Oak Grove, Suite 130

Menlo Park, CA 94025

 

Re:     Initial
Public Offering

 

Ladies and Gentlemen:

 

This letter (the “Letter
Agreement”) is being delivered to you in accordance with the Underwriting Agreement (the “Underwriting Agreement”)
entered into by and between Montes Archimedes Acquisition Corp., a Delaware corporation (the “Company”) and
Citigroup Global Markets Inc. and Jefferies LLC,
as representatives (the “Representatives”) of the several underwriters named in Schedule A thereto (the “Underwriters”),
relating to an underwritten initial public offering (the “IPO”) of the Company’s units (the “Units”),
each unit comprised of one share of the Company’s Class A common stock, par value $0.0001 per share (the “Common
Stock”), and one-half of one redeemable warrant, each whole warrant exercisable for one share of Common Stock (each,
a “Warrant”). Certain capitalized terms used herein are defined in paragraph 12 hereof.

 

In order to induce
the Company and the Underwriters to enter into the Underwriting Agreement and to proceed with the IPO, and in recognition of the
benefit that such IPO will confer upon the undersigned as a stockholder of the Company, and for other good and valuable consideration,
the receipt and sufficiency of which are hereby acknowledged, the undersigned hereby agrees with the Company as follows:

 

		1.	The Company shall not enter into a definitive agreement regarding a Business Combination without
the prior written consent of the undersigned.

 

		2.	If the Company solicits approval of its stockholders of a Business Combination, the undersigned
will vote all shares of Common Stock beneficially owned by it, whether acquired before, in or after the IPO, in favor of such Business
Combination.

 

    

     

    

 

		3.	In the event that the Company does not complete a Business Combination within the time period set
forth in the Company’s amended and restated certificate of incorporation, as the same may be further amended from time to
time (the “Charter”), the undersigned will, as promptly as possible, take all necessary actions 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, redeem the IPO Shares, 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 Trust Account not previously released to the Company
to pay its tax obligations, if any (less up to $100,000 of such net interest to pay dissolution expenses), divided by the number
of then outstanding IPO Shares, which redemption will completely extinguish public stockholders’ rights as stockholders (including
the right to receive further liquidation distributions, if any), 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 the cases of clauses (ii) and (iii) to the Company’s obligations under Delaware law to
provide for claims of creditors and other requirements of applicable law. The undersigned hereby waives any and all right, title,
interest or claim of any kind in or to any distribution of the Trust Account and any remaining net assets of the Company as a result
of such liquidation with respect to the Founder Shares owned by the undersigned. However, if the undersigned has acquired IPO Shares
in or after the IPO, it will be entitled to liquidating distributions from the Trust Account with respect to such IPO Shares in
the event that the Company does not complete a Business Combination within the time period set forth in the Charter. In the event
of the liquidation of the Trust Account, the undersigned agrees that it will be liable to the Company if and to the extent any
claims by a third party (other than the Company’s independent registered public accounting firm) for services rendered or
products sold to the Company, or a prospective target business with which the Company has discussed entering into a transaction
agreement, reduce the amount of funds in the Trust Account to below the lesser of (i) $10.00 per IPO Share and (ii) the
actual amount per IPO Share held in the Trust Account as of the date of the liquidation of the Trust Account, if less than $10.00
per IPO Share due to reductions in the value of the assets in the Trust Account, in each case less interest that may be withdrawn
to pay the Company’s tax obligations, if any; provided that such liability will not apply to any claims by a third party
or prospective target business who executed a waiver of any and all rights to the monies held in the Trust Account (whether or
not such waiver is enforceable) nor will it apply to any claims under the Company’s obligation to indemnify the Underwriters
against certain liabilities, including liabilities under the Securities Act of 1933, as amended, pursuant to the Underwriting Agreement.
The undersigned acknowledges and agrees that there will be no distribution from the Trust Account with respect to any Warrants,
all rights of which will terminate on the Company’s liquidation.

 

		4.	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 or an independent accounting firm that such Business
Combination is fair to the Company’s unaffiliated stockholders from a financial point of view.

 

		5.	Neither the undersigned nor any affiliate of the undersigned will be entitled to receive and will
not accept any compensation or other cash payment from the Company prior to, or for services rendered in order to effectuate, the
completion of the Business Combination; provided that the Company shall be allowed to make the payments set forth in the Registration
Statement adjacent to the caption “Prospectus Summary—The Offering—Limited payments to insiders.”

 

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	6.	(a)	The undersigned agrees that the Founder Shares may not be transferred, assigned or sold (except to certain permitted transferees
as described in the Registration Statement or herein) (the “Lockup”) until the earliest of: (1) one year
after the completion of a Business Combination or (2) the date following the completion of the Company’s initial Business
Combination, (x) on which the last reported sale price of our Common Stock equals or exceeds $12.00 per share (as adjusted
for stock splits, stock capitalizations, reorganizations, recapitalizations and the like) for any 20 trading days within any 30-trading
day period commencing at least 150 days after our initial Business Combination or (y) on which the Company completes a liquidation,
merger, stock exchange 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.

 

		(b)	Notwithstanding the provisions set forth in paragraphs 6(a) and 6(c), during the period commencing
on the effective date of the Underwriting Agreement and ending 180 days after such date, the undersigned will not, without the
prior written consent of the Representatives pursuant to the Underwriting Agreement, (i) sell, offer to sell, contract or
agree to sell, hypothecate, pledge, hedge or otherwise dispose of or agree to dispose of (or enter into any transaction that is
designed to, or might reasonably be expected to, result in the disposition (whether by actual disposition or effective economic
disposition due to cash settlement or otherwise) by the undersigned or any affiliate of the undersigned or any person in privity
with the undersigned or any affiliate of the undersigned), directly or indirectly, including the filing (or participation in the
filing) of a registration statement with the Securities and Exchange Commission (the “SEC”) in respect of, 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 SEC promulgated thereunder with respect to, any other Units, shares of Common Stock, Founder Shares or 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, including the filing of a registration
statement, specified in clause (i) or (ii). The provisions of this paragraph will not apply (i) to the transfer of Founder
Shares to any independent director appointed or elected to the Company’s board of directors before or after the IPO or (ii) if
the release or waiver is effected solely to permit a transfer not for consideration and, in each case 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.

 

		(c)	The undersigned agrees that until the Company completes an initial Business Combination, the undersigned’s
Private Placement Warrants will be subject to the transfer restrictions described in the Private Placement Warrants Purchase Agreement
relating to the undersigned’s Private Placement Warrants.

 

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		(d)	Notwithstanding the provisions set forth in paragraphs 6(a) and 6(c), transfers, assignments
and sales by the undersigned of the Founder Shares, Private Placement Warrants and shares of Common Stock issued or issuable upon
the exercise of the Private Placement Warrants or conversion of the Founder Shares are permitted (i) to the Company’s
officers or directors, any affiliates or family members of any of the Company’s officers or directors, any members or partners
of the undersigned or their affiliates, any affiliates of the undersigned, or any employees of such affiliates; (ii) in the
case of an individual, by gift to a member of the individual’s immediate family or to a trust, the beneficiary of which is
a member of one of the individual’s immediate family, an affiliate of such person or to a charitable organization; (iii) in
the case of an individual, by virtue of laws of descent and distribution upon death of the individual; (iv) in the case of
an individual, pursuant to a qualified domestic relations order; (v) by private sales or transfers made in connection with
the completion of the Business Combination at prices no greater than the price at which the Founder Shares, Private Placement Warrants
or shares of Common Stock, as applicable, were originally purchased; (vi) by virtue of the undersigned’s organizational
documents upon liquidation or dissolution of the undersigned; (vii) to the Company for no value for cancellation in connection
with the completion of the Business Combination; (viii) in the event of the Company’s liquidation prior to the completion
of a Business Combination; or (ix) in the event of completion of a liquidation, merger, share exchange 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 completion of a Business Combination; provided, however, that in the case of clauses (i) through
(vi) these permitted transferees must enter into a written agreement agreeing to be bound by the restrictions herein. For
the avoidance of doubt, the transfers of Founder Shares, Private Placement Warrants and shares of Common Stock issued or issuable
upon the exercise of the Private Placement Warrants or conversion of the Founder Shares shall be permitted regardless of whether
a filing under Section 16(a) of the Exchange Act shall be required or shall be voluntarily made with respect to such
transfers.

 

		7.	The undersigned hereby agrees that upon the redemption of the shares of Common Stock by any public
stockholder in connection with the stockholder vote to approve the Business Combination as provided for in the Charter (each a
 “Public Share Redemption”), the undersigned agrees to forfeit to the Company at no cost one share of Class B
common stock of the Company, par value $0.0001 per share (the “Class B Common Stock”) for each four (4) shares
of Common Stock redeemed in the Public Share Redemption; provided, that in no event shall the undersigned forfeit any fractional
shares of Class B Common Stock.

 

		8.	The undersigned has full right and power, without violating any agreement by which it is bound,
to enter into this Letter Agreement.

 

		9.	The undersigned hereby waives any right to exercise redemption rights with respect to any of the
Company’s shares of Common Stock owned or to be owned by the undersigned, directly or indirectly, whether such shares be
part of the Founder Shares or IPO Shares, and agrees not to seek redemption with respect to such shares (or sell such shares to
the Company in any tender offer) in connection with any stockholder vote to approve (x) a Business Combination or (y) an
amendment to the Charter that would affect the substance or timing of the Company’s obligation to allow redemption in connection
with the Business Combination or to redeem 100% of the shares of Common Stock if the Company has not completed a Business Combination
within 24 months from the closing of the IPO.

 

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		10.	The undersigned hereby agrees to not propose any amendment to the Charter that would affect the
substance or timing of the Company’s obligation to provide for the redemption of the shares of Common Stock held by public
stockholders in connection with an initial Business Combination or to redeem 100% of the shares of Common Stock held by public
stockholders if the Company does not complete an initial Business Combination within 24 months from the closing of the IPO unless
the Company provides its public stockholders with the opportunity to redeem their 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 taxes, divided by the number of then outstanding
shares of Common Stock held by public stockholders.

 

		11.	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 undersigned hereby (i) agrees that any action, proceeding or claim against him arising out
of or relating in any way to this Letter Agreement shall be brought and enforced in the courts of the State of New York of the
United States of America for the Southern District of New York, and irrevocably submits to such jurisdiction, which jurisdiction
shall be exclusive and (ii) waives any objection to such exclusive jurisdiction and that such courts represent an inconvenient
forum.

 

		12.	As used herein, (i) a “Business Combination” shall mean a merger, stock exchange,
asset acquisition, stock purchase, recapitalization, reorganization or other similar business combination with one or more businesses
or entities; (ii) “Insiders” shall mean all officers, directors and sponsors of the Company immediately prior
to the IPO; (iii) “Founder Shares” shall mean all of the Class B Common Stock of the Company acquired by
an Insider prior to the IPO; (iv) “IPO Shares” shall mean the shares of Common Stock issued in the Company’s
IPO; (v) “Private Placement Warrants” shall mean the warrants that are being sold privately by the Company simultaneously
with the consummation of the IPO; (vi) “Trust Account” shall mean the trust account into which the net proceeds
of the Company’s IPO and a portion of the proceeds from the sale of the Private Placement Warrants will be deposited; and
(vii) “Registration Statement” means the Company’s registration statement on Form S-1 (SEC File No. 333-248802)
filed with the SEC, as amended.

 

		13.	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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		14.	The undersigned acknowledges and understands that the Underwriters and the Company will rely upon
the agreements, representations and warranties set forth herein in proceeding with the IPO. Nothing contained herein shall be deemed
to render any Underwriter a representative of, or a fiduciary with respect to, the Company, its stockholders or any creditor or
vendor of the Company with respect to the subject matter hereof.

 

		15.	This Letter Agreement shall be binding on the undersigned and such person’s respective successors,
heirs, personal representatives and assigns. This Letter Agreement shall terminate on the earlier of (i) the completion of
a Business Combination and (ii) the liquidation of the Company; provided, that such termination shall not relieve the undersigned
from liability for any breach of this agreement prior to its termination. The parties hereto may not assign either this Letter
Agreement or any of their rights, interests, or obligations hereunder without the prior written consent of the other party. 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.

 

[Signature Page Follows]

 

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	 	PATIENT SQUARE CAPITAL LLC
	 	 	 
	 	By: 	/s/ Maria C. Walker
	 	Name: 	Maria C. Walker
	 	Title: 	Chief Financial Officer
	 	 	 
	 	Acknowledged and Agreed:
	 	 	 
	 	MONTES ARCHIMEDES ACQUISITION CORP.
	 	 	 
	 	By: 	/s/ Maria C. Walker
	 	Name: 	Maria C. Walker
	 	Title: 	Chief Financial Officer

 

Signature Page
to Letter Agreement (between the Registrant and the Sponsor)

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