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]