Exhibit 10.5


 


Graf Acquisition Corp. III


1790 Hughes Landing Blvd., Suite 400


The
Woodlands, TX 77380


 


February 13, 2021


 


Graf Acquisition Partners LLC


1790 Hughes Landing Blvd., Suite 400


The Woodlands, TX 77380


 


RE: Securities Subscription Agreement


 


Ladies and Gentlemen:


 


This agreement
(the “Agreement”) is entered into on January 29, 2021 by and between Graf Acquisition Partners LLC, a Delaware limited
liability company (the “Subscriber” or “you”), and Graf Acquisition Corp. III, a Delaware corporation
(the “Company”, “we” or “us”). Pursuant to the terms hereof, the Company hereby
accepts the offer the Subscriber has made to purchase 8,625,000 shares of common stock, $0.0001 par value per share (the “Shares”),
up to 1,125,000 of which are subject to forfeiture by you if the underwriters of the initial public offering (“IPO”)
of units (“Units”) of the Company, do not fully exercise their over-allotment option (the “Over-allotment
Option”). The Company and the Subscriber’s agreements regarding such Shares are as follows:


 


		1.	Purchase of Securities.



 


1.1.            Purchase
of Shares. For the sum of $25,000 (the “Purchase Price”), which the Company acknowledges receiving in cash, the
Company hereby issues the Shares to the Subscriber, and the Subscriber hereby purchases the Shares from the Company, subject to forfeiture,
on the terms and subject to the conditions set forth in this Agreement. Concurrently with the Subscriber’s execution of this Agreement,
the Company shall, at its option, deliver to the Subscriber a certificate registered in the Subscriber’s name representing the shares
(the “Original Certificate”), or effect such delivery in book-entry form.


 


		2.	Representations, Warranties and Agreements.



 


2.1.            Subscriber’s
Representations, Warranties and Agreements. To induce the Company to issue the Shares to the Subscriber, the Subscriber hereby represents
and warrants to the Company and agrees with the Company as follows:


 


2.1.1.            No
Government Recommendation or Approval. The Subscriber understands that no federal or state agency has passed upon or made any recommendation
or endorsement of the offering of the Shares.


 


2.1.2.            No
Conflicts. The execution, delivery and performance of this Agreement and the consummation by the Subscriber of the transactions contemplated
hereby do not violate, conflict with or constitute a default under


 


(i) the formation and governing documents
of the Subscriber, (ii) any agreement, indenture or instrument to which the Subscriber is a party or (iii) any law, statute,
rule or regulation to which the Subscriber is subject, or any agreement, order, judgment or decree to which the Subscriber is subject.


 


2.1.3.            Organization
and Authority. The Subscriber is a Delaware limited liability company, validly existing and in good standing under the laws of Delaware
and possesses all requisite power and authority necessary to carry out the transactions contemplated by this Agreement. Upon execution
and delivery by you, this Agreement is a legal, valid and binding agreement of Subscriber, enforceable against Subscriber 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).


 






    	 		 



     


    

 


2.1.4.            Experience,
Financial Capability and Suitability. Subscriber is: (i) sophisticated in financial matters and is able to evaluate the
risks and benefits of the investment in the Shares and (ii) able to bear the economic risk of its investment in the Shares for
an indefinite period of time because the Shares have not been registered under the Securities Act (as defined below) and therefore
cannot be sold unless subsequently registered under the Securities Act or an exemption from such registration is available.
Subscriber is capable of evaluating the merits and risks of its investment in the Company and has the capacity to protect its own
interests. Subscriber must bear the economic risk of this investment until the Shares are sold pursuant to: (i) an effective
registration statement under the Securities Act or (ii) an exemption from registration available with respect to such sale.
Subscriber is able to bear the economic risks of an investment in the Shares and to afford a complete loss of Subscriber’s
investment in the Shares.


 


2.1.5.            Access
to Information; Independent Investigation. Prior to the execution of this Agreement, the Subscriber 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, Subscriber has relied solely on Subscriber’s own knowledge
and understanding of the Company and its business based upon Subscriber’s own due diligence investigation and the information furnished
pursuant to this paragraph. Subscriber understands that no person has been authorized to give any information or to make any representations
which were not furnished pursuant to this Section 2 and Subscriber has not relied on any other representations or information in
making its investment decision, whether written or oral, relating to the Company, its operations and/or its prospects.


 


2.1.6.            Regulation
D Offering. Subscriber represents that it is an “accredited investor” as such term is defined in Rule 501(a) of
Regulation D under the Securities Act of 1933, as amended (the “Securities Act”) and acknowledges the sale contemplated
hereby is being made in reliance on a private placement exemption to “accredited investors” within the meaning of Section 501(a) of
Regulation D under the Securities Act or similar exemptions under state law.


 


2.1.7.            Investment
Purposes. The Subscriber is purchasing the Shares solely for investment purposes, for the Subscriber’s own account and not for
the account or benefit of any other person, and not with a view towards the distribution or dissemination thereof. The Subscriber 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.


 


2.1.8.            Restrictions
on Transfer; Shell Company. Subscriber understands the Shares are being offered in a transaction not involving a public offering within
the meaning of the Securities Act. Subscriber understands the Shares will be “restricted securities” within the meaning of
Rule 144(a)(3) under the Securities Act, and Subscriber understands that the certificates or book-entries representing the Shares
will contain a legend in respect of such restrictions. If in the future the Subscriber decides to offer, resell, pledge or otherwise transfer
the Shares, such Shares may be offered, resold, pledged or otherwise transferred only pursuant to: (i) registration under the Securities
Act, or (ii) an available exemption from registration. Subscriber agrees that if any transfer of its Shares or any interest therein
is proposed to be made, as a condition precedent to any such transfer, Subscriber may be required to deliver to the Company an opinion
of counsel satisfactory to the Company. Absent registration or an exemption, the Subscriber agrees not to resell the Shares. Subscriber
further acknowledges that because the Company is a shell company, Rule 144 may not be available to the Subscriber for the resale
of the Shares until one year following consummation of the initial business combination of the Company, despite technical compliance with
the requirements of Rule 144 and the release or waiver of any contractual transfer restrictions.


 


2.1.9.            No
Governmental Consents. No governmental, administrative or other third party consents or approvals are required, necessary or appropriate
on the part of Subscriber in connection with the transactions contemplated by this Agreement.


 


2.2.            Company’s
Representations, Warranties and Agreements. To induce the Subscriber to purchase the Shares, the Company hereby represents and warrants
to the Subscriber and agrees with the Subscriber as follows:


 


2.2.1.            Organization
and Corporate Power. The Company is a Delaware corporation and is qualified to do business in every jurisdiction in which the failure
to so qualify would reasonably be expected to have a material adverse effect on the financial condition, operating results or assets of
the Company. The Company possesses all requisite corporate power and authority necessary to carry out the transactions contemplated by
this Agreement.


 






    	 		 



     


    

 


2.2.2.            No
Conflicts. 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 (i) the Certificate of Incorporation or By Laws of the Company,
(ii) any agreement, indenture or instrument to which the Company is a party or (iii) any law, statute, rule or regulation
to which the Company is subject, or any agreement, order, judgment or decree to which the Company is subject.


 


2.2.3.            Title
to Securities. Upon issuance in accordance with, and payment pursuant to, the terms hereof, the Shares will be duly and validly issued,
fully paid and nonassessable. Upon issuance in accordance with, and payment pursuant to, the terms hereof, the Subscriber will have or
receive good title to the Shares, free and clear of all liens, claims and encumbrances of any kind, other than (a) transfer restrictions
hereunder and other agreements to which the Shares may be subject, (b) transfer restrictions under federal and state securities laws,
and (c) liens, claims or encumbrances imposed due to the actions of the Subscriber.


 


2.2.4.            No
Adverse Actions. There are no actions, suits, investigations or proceedings pending, threatened against or affecting the Company which:
(i) seek to restrain, enjoin, prevent the consummation of or otherwise affect the transactions contemplated by this Agreement or
(ii) question the validity or legality of any transactions or seeks to recover damages or to obtain other relief in connection with
any transactions.


 


		3.	Forfeiture of Shares.



 


3.1.             
Partial or No Exercise of the Over-allotment Option. In the event the Over-allotment Option granted to the underwriters
of the IPO is not exercised in full, the Subscriber acknowledges and agrees that it (or, if applicable, it and any transferees of Shares)
shall forfeit any and all rights to such number of Shares (up to an aggregate of 1,125,000 Shares and pro rata based upon the percentage
of the Over-allotment Option exercised) such that immediately following such forfeiture, the Subscriber (and all other initial shareholders
prior to the IPO, if any) will own an aggregate number of Shares equal to 20% of the issued and outstanding Shares immediately following
the IPO.


 


3.2.            Termination
of Rights as Shareholder. If any of the Shares are forfeited in accordance with this Section 3, then after such time the Subscriber
(or successor in interest), shall no longer have any rights as a holder of such forfeited Shares, and the Company shall take such action
as is appropriate to cancel such forfeited Shares.


 


3.3.            Share
Certificates. In the event an adjustment to the Original Certificates, if any, is required pursuant to this Section 3, then the
Subscriber shall return such Original Certificates to the Company or its designated agent as soon as practicable upon its receipt of notice
from the Company advising Subscriber of such adjustment, following which a new certificate (the “New Certificate”),
if any, shall be issued in such amount representing the adjusted number of Shares held by the Subscriber. The New Certificate, if any,
shall be returned to the Subscriber as soon as practicable. Any such adjustment for any uncertificated securities held by the Subscriber
shall be made in book-entry form.


 


4.            Waiver
of Liquidation Distributions; Redemption Rights. In connection with the Shares purchased pursuant to this Agreement, the Subscriber
hereby waives any and all right, title, interest or claim of any kind in or to any distributions by the Company from the trust account
which will be established for the benefit of the Company’s public shareholders and into which substantially all of the proceeds
of the IPO will be deposited (the “Trust Account”), in the event of a liquidation of the Company upon the Company’s
failure to timely complete an initial business combination. For purposes of clarity, in the event the Subscriber purchases Shares in the
IPO or in the aftermarket, any additional Shares so purchased shall be eligible to receive any liquidating distributions by the Company.
However, in no event will the Subscriber have the right to redeem any Shares into funds held in the Trust Account upon the successful
completion of an initial business combination.


 


		5.	Restrictions on Transfer.



 


5.1.            Securities
Law Restrictions. In addition to any restrictions to be contained in that certain letter agreement (commonly known as an “Insider
Letter”) dated as of the closing of the IPO by and between Subscriber and the Company, Subscriber agrees not to sell, transfer,
pledge, hypothecate or otherwise dispose of all or any part of the Shares unless, prior thereto (a) a registration statement on the
appropriate form under the Securities Act and applicable state securities laws with respect to the Shares proposed to be transferred shall
then be effective or (b) the Company has received an opinion from counsel reasonably satisfactory to 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 Securities
and Exchange Commission thereunder and with all applicable state securities laws.


 






    	 		 



     


    

 


5.2.            Lock-up.
Subscriber acknowledges that the Securities will be subject to lock-up provisions (the “Lock- up”) contained in the
Insider Letter.


 


5.3.            Restrictive
Legends. Any certificates representing the Shares shall have endorsed thereon legends 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 EXEMPTION FROM REGISTRATION UNDER SUCH ACT AND SUCH LAWS WHICH, IN THE OPINION OF COUNSEL, IS
AVAILABLE.”


 


“THE SECURITIES REPRESENTED BY THIS CERTIFICATE
ARE SUBJECT TO A LOCKUP AND MAY NOT BE OFFERED, SOLD, TRANSFERRED, PLEDGED OR OTHERWISE DISPOSED DURING THE TERM OF THE LOCKUP.”


 


5.4.            Additional
Shares or Substituted Securities. In the event of the declaration of a share dividend, the declaration of an extraordinary dividend
payable in a form other than Shares, a spin-off, a share split, an adjustment in conversion ratio, a recapitalization or a similar transaction
affecting the Company’s outstanding Shares without receipt of consideration, any new, substituted or additional securities or other
property which are by reason of such transaction distributed with respect to any Shares subject to this Section 5 or into which such
Shares thereby become convertible shall immediately be subject to this Section 5 and Section 3. Appropriate adjustments to reflect
the distribution of such securities or property shall be made to the number and/or class of Shares subject to this Section 5 and
Section 3.


 


5.5.            Registration
Rights. Subscriber acknowledges that the Shares are being purchased pursuant to an exemption from the registration requirements of
the Securities Act and will become freely tradable only after certain conditions are met or they are registered pursuant to a registration
rights agreement to be entered into with the Company prior to the closing of the IPO.


 


		6.	Other Agreements.



 


6.1.            Further
Assurances. Subscriber 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.


 


6.2.            Notices.
All notices, statements or other documents which are required or contemplated by this Agreement shall be: (i) in writing and
delivered personally or sent by first class registered or certified mail, overnight courier service or facsimile or electronic transmission
to the address designated in writing, (ii) by facsimile to the number most recently provided to such party or such other address
or fax number as may be designated in writing by such party and (iii) by electronic mail, to the electronic mail address most recently
provided to such party or such other electronic mail address as may be designated in writing by such party. Any notice or other communication
so transmitted shall be deemed to have been given on the day of delivery, if delivered personally, on the business day following receipt
of written confirmation, if sent by facsimile or electronic transmission, one (1) business day after delivery to an overnight courier
service or five (5) days after mailing if sent by mail.


 


6.3.            Entire
Agreement. This Agreement, together with the Insider Letter and the Registration Rights Agreement, each substantially in the form
to be filed as an exhibit to the Registration Statement on Form S-1 associated with the Company’s IPO, embodies the entire
agreement and understanding between the Subscriber and the Company with respect to the subject matter hereof and supersedes all prior
oral or written agreements and understandings relating to the subject matter hereof. No statement, representation, warranty, covenant
or agreement of any kind not expressly set forth in this Agreement shall affect, or be used to interpret, change or restrict, the express
terms and provisions of this Agreement.


 


6.4.            Modifications
and Amendments. The terms and provisions of this Agreement may be modified or amended only by written agreement executed by all parties
hereto.


 






    	 		 



     


    

 


6.5.            Waivers
and Consents. The terms and provisions of this Agreement may be waived, or consent for the departure therefrom granted, only by a
written document executed by the party entitled to the benefits of such terms or provisions. No such waiver or consent shall be deemed
to be or shall constitute a waiver or consent with respect to any other terms or provisions of this Agreement, whether or not similar.
Each such waiver or consent shall be effective only in the specific instance and for the purpose for which it was given, and shall not
constitute a continuing waiver or consent.


 


6.6.            Assignment.
The rights and obligations under this Agreement may not be assigned by either party hereto without the prior written consent of the
other party.


 


6.7.            Benefit.
All statements, representations, warranties, covenants and agreements in this Agreement shall be binding on the parties hereto and
shall inure to the benefit of the respective successors and permitted assigns of each party hereto. 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.


 


6.8.            Governing
Law. This Agreement and the rights and obligations of the parties hereunder shall be construed in accordance with and governed by
the laws of New York applicable to contracts wholly performed within the borders of such state, without giving effect to the conflict
of law principles thereof.


 


6.9.            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.


 


6.10.            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 the 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.


 


6.11.            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 the parties.


 


6.12.            No
Broker or Finder. Each of the parties hereto represents and warrants to the other that no broker, finder or other financial consultant
has acted on its behalf in connection with this Agreement or the transactions contemplated hereby in such a way as to create any liability
on the other. Each of the parties hereto agrees to indemnify and save the other harmless from any claim or demand for commission or other
compensation by any broker, finder, financial consultant or similar agent claiming to have been employed by or on behalf of such party
and to bear the cost of legal expenses incurred in defending against any such claim.


 


6.13.            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.


 


6.14.            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 and shall become effective when counterparts have been signed by each party and delivered to the other party, it being understood
that both parties need not sign the same counterpart. 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.


 






    	 		 



     


    

 


6.15.            Construction.
The parties hereto have participated jointly in the negotiation and drafting of this Agreement. If an ambiguity or question of intent
or interpretation arises, this Agreement will be construed as if drafted jointly by the parties hereto and no presumption or burden of
proof will arise favoring or disfavoring any party hereto because of the authorship of any provision of this Agreement. The words “include,”
 “includes,” and “including” will be deemed to be followed by “without limitation.”
Pronouns in masculine, feminine, and neuter genders will be construed to include any other gender, and words in the singular form will
be construed to include the plural and vice versa, unless the context otherwise requires. The words “this Agreement,”
 “herein,” “hereof,” “hereby,” “hereunder,” and words of similar
import refer to this Agreement as a whole and not to any particular subdivision unless expressly so limited. The parties hereto intend
that each representation, warranty, and covenant contained herein will have independent significance. If any party hereto has breached
any representation, warranty, or covenant contained herein in any respect, the fact that there exists another representation, warranty
or covenant relating to the same subject matter (regardless of the relative levels of specificity) which such party hereto has not breached
will not detract from or mitigate the fact that such party hereto is in breach of the first representation, warranty, or covenant.


 


6.16.            Mutual
Drafting. This Agreement is the joint product of the Subscriber and the Company and each provision hereof has been subject to the
mutual consultation, negotiation and agreement of such parties and shall not be construed for or against any party hereto.


 


7.            Voting
and Tender of Shares. Subscriber agrees to vote the Shares in favor of an initial business combination that the Company negotiates
and submits for approval to the Company’s shareholders and shall not seek redemption with respect to such Shares. Additionally,
the Subscriber agrees not to tender any Shares in connection with a tender offer presented to the Company’s shareholders in connection
with an initial business combination negotiated by the Company.


 


[Signature Page Follows]


 






    	 		 



     


    

 


If the foregoing accurately sets forth
our understanding and agreement, please sign the enclosed copy of this Agreement and return it to us.


 


	 	Very truly yours,
	 	 
	 	GRAF ACQUISITION CORP. III
	 	 
	 	By:	/s/ James A. Graf
	 	 	Name: James A. Graf
	 	 	Title: Chief Executive Officer


 


	Accepted and agreed as of the date first written above.	 
	 	 
	GRAF ACQUISITION PARTNERS LLC	 
	 	 
	By:	/s/ James A. Graf	 
	 	Name: James A. Graf	 
	 	Title: Sole Managing Manager	 


 


[Signature
Page to Securities Subscription Agreement]