Company: HYAC-WT
Filing Date: 2025-07-15
Form Type: DEFA14A
Source: 0001104659-25-068092
Chunk: 1

Company: Haymaker Acquisition Corp. 4
Filing Date: 2025-07-15
Form: DEFA14A
Chunk 1
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68 and (ii) supplement the Proxy Statement with
the information set forth in the Company’s Current Report on Form 8-K filed with the U.S. Securities and Exchange Commission on
July 15, 2025 (the “Current Report”).

This Supplement should be read in conjunction with the Proxy Statement.
Except as specifically set forth in this Supplement, no other changes are made to the Proxy Statement. If you have already submitted your
vote, you do not need to take any further action.

Redemption Price

In the Proxy Statement, the Redemption Price was
previously stated as $10.68. The Company hereby clarifies that the Redemption Price is approximately $11.05. The Redemption Price is based
upon (a) the amount in the Trust Account then on deposit, which, as of June 27, 2025, was approximately $254,180,747.94, divided by (b)
23,000,000 Class A ordinary shares outstanding (excluding Class A ordinary shares held by the Sponsor).

The full text of the Current Report is set forth below.

<div align='center'>UNITED STATES

SECURITIES AND EXCHANGE COMMISSION

Washington, D.C. 20549

FORM 8-K

CURRENT REPORT

PURSUANT TO SECTION 13 OR 15(d) OF THE

SECURITIES EXCHANGE ACT OF 1934

Date of Report (Date of earliest event reported):
July 15, 2025

HAYMAKER ACQUISITION CORP. 4

(Exact name of registrant as specified in its
charter)</div>

| Cayman                       
 Islands                      |     | 001-41757   |     | 87-2213850         |
| (State or other jurisdiction 
 of incorporation)            |     | -Commission 
 File Number |     | -IRS Employer      
 Identification No. |

<div align='center'>501 Madison Avenue, Floor 5

New York, NY 10022

(Address of principal executive offices, including
zip code)

Registrant’s telephone number, including
area code: (212) 616-9600

Not Applicable

(Former name or former address, if changed since last report)</div>

Check the appropriate box below if the Form 8-K
filing is intended to simultaneously satisfy the filing obligation of the registrant under any of the following provisions:

| ¨ | Written communications                                         
 pursuant to Rule 425 under the Securities Act (17 CFR