Exhibit 10.4


 


APEIRON CAPITAL INVESTMENT CORP.


175 Federal Street, Suite 875


Boston, Massachusetts 02110


 


November 8, 2021


 


Apeiron Capital Sponsor, LLC 


175 Federal Street, Suite 875 


Boston, Massachusetts 02110


 


Re: Administrative
Support Agreement


 


Ladies and Gentlemen:


 


This letter agreement by and
between Apeiron Capital Investment Corp. (the “Company”) and Apeiron Capital Sponsor, LLC (“Sponsor”), dated as
of the date hereof, will confirm our agreement that, commencing on the date the Registration Statement on Form S-1 and prospectus
filed with the U.S. Securities and Exchange Commission (File No. 333- 257369) (the “Registration Statement”) is declared
effective (the “Effective Date”) 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) Sponsor shall make
available, or cause to be made available, to the Company, at 175 Federal Street, Suite 875, Boston, Massachusetts 02110 (or
any successor location of Sponsor), certain office space, utilities and secretarial and administrative support as may be reasonably required
by the Company. In exchange therefor, the Company shall pay Sponsor the sum of $10,000 per month beginning on the Effective Date and continuing
monthly thereafter until the Termination Date; and


 


(ii) Sponsor 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”) as a result of, or arising out of, this letter agreement, 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 law principles.


 


[Signature Page Follows]


 






    


     


    




 


	 	Very truly yours,
	 	 
	 	APEIRON CAPITAL INVESTMENT CORP.
	 	 	 
	 	By:	 /s/ Joel Shulman 
	 	 	Name: Dr. Joel Shulman 
	 	 	Title:   Chief Executive Officer


 


AGREED TO AND ACCEPTED BY:


APEIRON CAPITAL SPONSOR, LLC


 


	By:	/s/ Joel Shulman 	 
	 	Name: Dr. Joel Shulman	 
	 	Title:   Authorized Signatory	 


 


[Signature Page to Administrative Support
Agreement]