Document:

Exhibit
10.4

 

Execution
Version

 

TortoiseEcofin
Acquisition Corp. III

6363
College Boulevard

Overland
Park, KS 66211

 

July
19, 2021

 

Tortoise
Capital Advisors, L.L.C.

6363
College Boulevard

Overland
Park, KS 66211

 

		Re:	Administrative
                                            Support Agreement

 

Ladies
and Gentlemen:

 

This
letter agreement by and between TortoiseEcofin Acquisition Corp. III (the “Company”) and Tortoise Capital Advisors,
L.L.C. (“Tortoise Capital Advisors”), 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 New York Stock Exchange (the “Listing Date”),
pursuant to a Registration Statement on Form S-1 and prospectus filed with the U.S. Securities and Exchange Commission (the “Registration
Statement”) and continuing until the earlier of the consummation by the Company of an initial business combination and
the Company’s liquidation (in each case as described in the Registration Statement) (such earlier date hereinafter referred to
as the “Termination Date”):

 

(i)
Tortoise Capital Advisors shall make available (or cause other persons to make available) to the Company, at 6363 College Boulevard,
Overland Park, KS 66211 (or any successor location of Tortoise Capital Advisors), certain office space, utilities and secretarial and
administrative support as may be reasonably required by the Company. As reimbursement therefor, the Company shall pay Tortoise Capital
Advisors (and Tortoise Capital Advisors will receive on behalf of itself or, to the extent it causes another person to make support available
to the Company, as nominee on behalf of such other person) the sum of $10,000 per month beginning on the Listing Date and continuing
monthly thereafter until the Termination Date; provided, however, if the Listing Date occurs on a day other than the first
day of the month, the first payment due under this letter agreement shall be pro-rated based on a 30 day month. Although the sums payable
hereunder are fixed, the parties intend that such sums constitute solely a reimbursement for the costs described herein without any mark-up
or other profits and agree that such fixed sums constitute a reasonable estimate of such costs.

 

(ii)
Tortoise Capital Advisors 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 shareholders 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; provided, however, that Tortoise Capital Advisors may assign this letter agreement, in whole
or in part, to any other person that it directly, or indirectly through one or more intermediaries, controls, or is controlled by, or
is under common control with, without the prior written approval of the Company. 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]

 

    	 

     

    

 

	 	Very
    truly yours,
	 	 	 	 
	 	TortoiseEcofin
    Acquisition Corp. III
	 	 	 	 
	 	By:	/s/
    Vincent T. Cubbage 
	 	 	Name:	Vincent
    T. Cubbage
	 	 	Title:	Chief
    Executive Officer 

 

	AGREED
    TO AND ACCEPTED BY:	 
	 	 
	TORTOISE
    CAPITAL ADVISORS, L.L.C.	 
	 	 	 	 
	By:	/s/
    Michelle Johnston 	 
	 	Name:	Michelle
    Johnston	 
	 	Title:	Authorized
    Signer	 

 

[Signature
Page to Administrative Support Agreement]Exhibit
10.5

 

Execution
Version

 

PRIVATE
PLACEMENT WARRANTS PURCHASE AGREEMENT

 

THIS
PRIVATE PLACEMENT WARRANTS PURCHASE AGREEMENT, dated as of July 19, 2021 (as it may from time to time be amended, this “Agreement”),
is entered into by and between TortoiseEcofin Acquisition Corp. III, a Cayman Islands exempted company (the “Company”),
and TortoiseEcofin Borrower LLC, a Delaware limited liability company (the “Purchaser”).

 

WHEREAS,
the Company intends to consummate an initial public offering of the Company’s units (the “Public Offering”),
each unit consisting of one of the Company’s Class A ordinary shares, par value $0.0001 per share (the “Ordinary Shares”),
and one-fourth of one redeemable warrant as set forth in the Company’s registration statement on Form S-1, filed with the Securities
and Exchange Commission (the “SEC”), File Number 333-253586 (the “Registration Statement”),
under the Securities Act of 1933, as amended (the “Securities Act”). Each whole warrant entitles the holder
to purchase one Ordinary Share at an exercise price of $11.50 per share. The Purchaser has agreed to purchase an aggregate of 6,333,333
redeemable warrants (or up to 6,933,333 warrants if the over-allotment option in connection with the Public Offering is exercised in
full) (the “Private Placement Warrants”), each whole Private Placement Warrant entitling the holder to purchase
one Ordinary Share at an exercise price of $11.50 per share.

 

NOW
THEREFORE, in consideration of the mutual promises contained in this Agreement and other good and valuable consideration, the receipt
and sufficiency of which are hereby acknowledged, the parties to this Agreement hereby, intending legally to be bound, agree as follows:

 

AGREEMENT

 

Section
1. Authorization, Purchase and Sale; Terms of the Private Placement Warrants.

 

A.
Authorization of the Private Placement Warrants. The Company has duly authorized the issuance and sale of the Private Placement
Warrants to the Purchaser.

 

B.
Purchase and Sale of the Private Placement Warrants.

 

(i)
On the date that is one business day prior to the date of the consummation of the Public Offering or on such earlier time and date as
may be mutually agreed by the Purchaser and the Company (the “Initial Closing Date”), the Company shall issue
and sell to the Purchaser, and the Purchaser shall purchase from the Company, 6,333,333 Private Placement Warrants at a price of $1.50
per warrant for an aggregate purchase price of $9,500,000 (the “Purchase Price”). The Purchaser shall pay the
Purchase Price by wire transfer of immediately available funds in accordance with the Company’s wiring instructions. On the Initial
Closing Date, upon the payment by the Purchaser of the Purchase Price, the Company, at its option, shall deliver a certificate evidencing
the Private Placement Warrants purchased on such date duly registered in the Purchaser’s name to the Purchaser, or effect such
delivery in book-entry form.

 

(ii)
On the date that is one business day prior to the date of the consummation of the closing of the over-allotment option in connection
with the Public Offering or on such earlier time and date as may be mutually agreed by the Purchaser and the Company (each such date,
an “Over-allotment Closing Date,” and each Over-allotment Closing Date (if any) and the Initial Closing Date
being sometimes referred to herein as a “Closing Date”), the Company shall issue and sell to the Purchaser,
and the Purchaser shall purchase from the Company, up to 600,000 Private Placement Warrants at a price of $1.50 per warrant for an aggregate
purchase price of up to $900,000 (if the over-allotment option in connection with the Public Offering is exercised in full) (the “Over-allotment
Purchase Price”). The Purchaser shall pay the Over-allotment Purchase Price by wire transfer of immediately available funds
to the Company in accordance with the Company’s wiring instructions. On the Over-allotment Closing Date, upon the payment by the
Purchaser of the Over-allotment Purchase Price, the Company shall, at its option, deliver a certificate evidencing the Private Placement
Warrants duly registered in the Purchaser’s name to the Purchaser, or effect such delivery in book-entry form.

 

    	 	 	 

     

    

 

C.
Terms of the Private Placement Warrants.

 

(i)
Each Private Placement Warrant shall have the terms set forth in a Warrant Agreement to be entered into by the Company and a warrant
agent in connection with the Public Offering (the “Warrant Agreement”).

 

(ii)
At the time of the closing of the Public Offering, the Company and the Purchaser shall enter into a registration rights agreement (the
“Registration Rights Agreement”) pursuant to which the Company will grant certain registration rights to the
Purchaser relating to the Private Placement Warrants and the Ordinary Shares underlying the Private Placement Warrants.

 

Section
2. Representations and Warranties of the Company. As a material inducement to the Purchaser to enter into this Agreement and purchase
the Private Placement Warrants, the Company hereby represents and warrants to the Purchaser (which representations and warranties shall
survive each Closing Date) that:

 

A.
Incorporation and Corporate Power. The Company is an exempted company duly incorporated, validly existing and in good standing
under the laws of the Cayman Islands 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 and the Warrant Agreement.

 

B.
Authorization; No Breach.

 

(i)
The execution, delivery and performance of this Agreement and the Private Placement Warrants have been duly authorized by the Company
as of the Closing Date. This Agreement constitutes the valid and binding obligation of the Company, enforceable in accordance with its
terms, subject to bankruptcy, insolvency, fraudulent conveyance, reorganization, moratorium and other laws of general applicability relating
to or affecting creditors’ rights and to general equitable principles (whether considered in a proceeding in equity or law). Upon
issuance in accordance with, and payment pursuant to, the terms of the Warrant Agreement and this Agreement, the Private Placement Warrants
will constitute valid and binding obligations of the Company, enforceable in accordance with their terms as of the Closing Date, subject
to bankruptcy, insolvency, fraudulent conveyance, reorganization, moratorium and other laws of general applicability relating to or affecting
creditors’ rights and to general equitable principles (whether considered in a proceeding in equity or law).

 

(ii)
The execution and delivery by the Company of this Agreement and the Private Placement Warrants, the issuance and sale of the Private
Placement Warrants, the issuance of the Ordinary Shares upon exercise of the Private Placement Warrants and the fulfillment of and compliance
with the respective terms hereof and thereof by the Company, do not and will not as of the Closing Date (a) conflict with or result in
a breach of the terms, conditions or provisions of, (b) constitute a default under, (c) result in the creation of any lien, security
interest, charge or encumbrance upon the Company’s share capital or assets under, (d) result in a violation of or (e) require any
authorization, consent, approval, exemption or other action by or notice or declaration to, or filing with, any court or administrative
or governmental body or agency pursuant to the amended and restated memorandum and articles of association of the Company (in effect
on the date hereof or as may be amended prior to completion of the contemplated Public Offering), or any material law, statute, rule
or regulation to which the Company is subject, or any agreement, order, judgment or decree to which the Company is subject, except for
any filings required after the date hereof under federal or state securities laws.

 

C.
Title to Securities. Upon issuance in accordance with, and payment pursuant to, the terms hereof and the Warrant Agreement, and
upon registration in the Company’s register of members, the Ordinary Shares issuable upon exercise of the Private Placement Warrants
will be duly and validly issued, fully paid and non-assessable (meaning that no additional sums may be levied in respect of such shares
on the holder thereof by the Company). Upon issuance in accordance with, and payment pursuant to, the terms hereof and the Warrant Agreement,
and upon registration in the Company’s register of members, the Purchaser will have good title to the Private Placement Warrants
and the Ordinary Shares issuable upon exercise of such Private Placement Warrants, free and clear of all liens, claims and encumbrances
of any kind, other than (i) transfer restrictions hereunder and under the other agreements contemplated hereby, (ii) transfer restrictions
under federal and state securities laws and (iii) liens, claims or encumbrances imposed due to the actions of the Purchaser.

 

    	 	2	 

     

    

 

D.
Governmental Consents. No permit, consent, approval or authorization of, or declaration to or filing with, any governmental authority
is required in connection with the execution, delivery and performance by the Company of this Agreement or the consummation by the Company
of any other transactions contemplated hereby.

 

Section
3. Representations and Warranties of the Purchaser. As a material inducement to the Company to enter into this Agreement and issue
and sell the Private Placement Warrants to the Purchaser, the Purchaser hereby represents and warrants to the Company (which representations
and warranties shall survive each Closing Date) that:

 

A.
Organization and Requisite Authority. The Purchaser possesses all requisite power and authority necessary to carry out the transactions
contemplated by this Agreement.

 

B.
Authorization; No Breach.

 

(i)
This Agreement constitutes a valid and binding obligation of the Purchaser, enforceable in accordance with its terms, subject to bankruptcy,
insolvency, fraudulent conveyance, reorganization, moratorium and other laws of general applicability relating to or affecting creditors’
rights and to general equitable principles (whether considered in a proceeding in equity or law).

 

(ii)
The execution and delivery by the Purchaser of this Agreement and the fulfillment of and compliance with the terms hereof by the Purchaser
does not and shall not as of each Closing Date conflict with or result in a breach by the Purchaser of the terms, conditions or provisions
of any agreement, instrument, order, judgment or decree to which the Purchaser is subject.

 

C.
Investment Representations.

 

(i)
The Purchaser is acquiring the Private Placement Warrants and, upon exercise of the Private Placement Warrants, the Ordinary Shares issuable
upon such exercise (collectively, the “Securities”), for the Purchaser’s own account, for investment
purposes only and not with a view towards, or for resale in connection with, any public sale or distribution thereof.

 

(ii)
The Purchaser is an “accredited investor” as such term is defined in Rule 501(a)(3) of Regulation D under the Securities
Act.

 

(iii)
The Purchaser understands that the Securities are being offered and will be sold to it in reliance on specific exemptions from the registration
requirements of the United States federal and state securities laws and that the Company is relying upon the truth and accuracy of, and
the Purchaser’s compliance with, the representations and warranties of the Purchaser set forth herein in order to determine the
availability of such exemptions and the eligibility of the Purchaser to acquire such Securities.

 

(iv)
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(c) under the Securities Act.

 

(v)
The Purchaser has been furnished with all materials relating to the business, finances and operations of the Company and materials relating
to the offer and sale of the Securities which have been requested by the Purchaser. The Purchaser has been afforded the opportunity to
ask questions of the executive officers and directors of the Company. The Purchaser understands that its investment in the Securities
involves a high degree of risk and it has sought such accounting, legal and tax advice as it has considered necessary to make an informed
investment decision with respect to the acquisition of the Securities.

 

(vi)
The Purchaser understands that no United States federal or state agency or any other government or governmental agency has passed on
or made any recommendation or endorsement of the Securities or the fairness or suitability of the investment in the Securities by the
Purchaser nor have such authorities passed upon or endorsed the merits of the offering of the Securities.

 

    	 	3	 

     

    

 

(vii)
The Purchaser understands that: (a) the Securities have not been and are not being registered under the Securities Act or any state securities
laws, and may not be offered for sale, sold, assigned or transferred unless (1) subsequently registered thereunder or (2) sold in reliance
on an exemption therefrom; and (b) except as specifically set forth in the Registration Rights Agreement, neither the Company nor any
other person is under any obligation to register the Securities under the Securities Act or any state securities laws or to comply with
the terms and conditions of any exemption thereunder.

 

(viii)
The Purchaser has such knowledge and experience in financial and business matters, knows of the high degree of risk associated with investments
in the securities of companies in the development stage such as the Company, is capable of evaluating the merits and risks of an investment
in the Securities and is able to bear the economic risk of an investment in the Securities in the amount contemplated hereunder for an
indefinite period of time. The Purchaser has adequate means of providing for its current financial needs and contingencies and will have
no current or anticipated future needs for liquidity which would be jeopardized by the investment in the Securities. The Purchaser can
afford a complete loss of its investment in the Securities.

 

Section
4. Conditions of the Purchaser’s Obligations. The obligations of the Purchaser to purchase and pay for the Private Placement
Warrants are subject to the fulfillment, on or before each Closing Date, of each of the following conditions:

 

A.
Representations and Warranties. The representations and warranties of the Company contained in 0 shall be true and correct
at and as of such Closing Date as though then made.

 

B.
Performance. The Company shall have performed and complied with all agreements, obligations and conditions contained in this Agreement
that are required to be performed or complied with by it on or before such Closing Date.

 

C.
No Injunction. No litigation, statute, rule, regulation, executive order, decree, ruling or injunction shall have been enacted,
entered, promulgated or endorsed by or in any court or governmental authority of competent jurisdiction or any self-regulatory organization
having authority over the matters contemplated hereby, which prohibits the consummation of any of the transactions contemplated by this
Agreement or the Warrant Agreement.

 

D.
Warrant Agreement. The Company shall have entered into a Warrant Agreement with a warrant agent on terms satisfactory to the Purchaser.

 

Section
5. Conditions of the Company’s Obligations. The obligations of the Company to the Purchaser under this Agreement are subject
to the fulfillment, on or before each Closing Date, of each of the following conditions:

 

A.
Representations and Warranties. The representations and warranties of the Purchaser contained in 0 shall be true and correct
at and as of such Closing Date as though then made.

 

B.
Performance. The Purchaser shall have performed and complied with all agreements, obligations and conditions contained in this
Agreement that are required to be performed or complied with by the Purchaser on or before such Closing Date.

 

C.
Corporate Consents. The Company shall have obtained the consent of its Board of Directors authorizing the execution, delivery
and performance of this Agreement and the Warrant Agreement and the issuance and sale of the Private Placement Warrants hereunder.

 

D.
No Injunction. No litigation, statute, rule, regulation, executive order, decree, ruling or injunction shall have been enacted,
entered, promulgated or endorsed by or in any court or governmental authority of competent jurisdiction or any self-regulatory organization
having authority over the matters contemplated hereby, which prohibits the consummation of any of the transactions contemplated by this
Agreement or the Warrant Agreement.

 

    	 	4	 

     

    

 

E.
Warrant Agreement. The Company shall have entered into a Warrant Agreement with a warrant agent on terms satisfactory to the Company.

 

Section
6. Termination. This Agreement may be terminated at any time after January 31, 2022 upon the election by either the Company or the
Purchaser upon written notice to the other party if the closing of the Public Offering does not occur prior to such date.

 

Section
7. Survival of Representations and Warranties. All of the representations and warranties contained herein shall survive each Closing
Date.

 

Section
8. Definitions. Terms used but not otherwise defined in this Agreement shall have the meaning assigned to such terms in the Registration
Statement.

 

Section
9. Miscellaneous.

 

A.
Successors and Assigns. Except as otherwise expressly provided herein, all covenants and agreements contained in this Agreement
by or on behalf of any of the parties hereto shall bind and inure to the benefit of the respective successors of the parties hereto whether
so expressed or not. Notwithstanding the foregoing or anything to the contrary herein, the parties may not assign this Agreement, other
than assignments by the Purchaser to affiliates thereof (including, without limitation, one or more of its members).

 

B.
Severability. Whenever possible, each provision of this Agreement shall be interpreted in such manner as to be effective and valid
under applicable law, but if any provision of this Agreement is held to be prohibited by or invalid under applicable law, such provision
shall be ineffective only to the extent of such prohibition or invalidity, without invalidating the remainder of this Agreement.

 

C.
Counterparts. This Agreement may be executed simultaneously in two or more counterparts, none of which need contain the signatures
of more than one party, but all such counterparts taken together shall constitute one and the same agreement.

 

D.
Descriptive Headings; Interpretation. The descriptive headings of this Agreement are inserted for convenience only and do not
constitute a substantive part of this Agreement. The use of the word “including” in this Agreement shall be by way of example
rather than by limitation.

 

E.
Governing Law. This Agreement shall be deemed to be a contract made under the laws of the State of New York and for all purposes
shall be construed in accordance with the internal laws of the State of New York.

 

F.
Amendments. This Agreement may not be amended, modified or waived as to any particular provision, except by a written instrument
executed by all parties hereto.

 

[Signature
Page Follows]

 

    	 	5	 

     

    

 

IN
WITNESS WHEREOF, the parties hereto have executed this Agreement to be effective as of the date first set forth above.

 

	 	COMPANY:
	 	 
	 	TortoiseEcofin
    Acquisition Corp. III
	 	 
	 	By:	/s/
    Vincent T. Cubbage
	 	Name:	Vincent
    T. Cubbage
	 	Title:	Chief
    Executive Officer
	 	 	 
	 	PURCHASER:
	 	 
	 	TORTOISEECOFIN
    BORROWER LLC
	 	 	 
	 	By:	/s/
    Michelle Johnston
	 	Name: 	Michelle
    Johnston
	 	Title:	Chief
    Financial Officer
	 	 	                                                      

 

[Signature Page to Private Placement Warrants
Purchase Agreement]

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