You can follow these steps to change Logo Color on Search Page.
Note: Use code, you can change logo to white or black color. But if you want to use a different color, you will need to replace it with new logo (I write code below)
#1. To invert Logo to Black Color, use this code to Code Injection > Footer
<script> if (document.location.pathname.indexOf("/search") == 0) { document.querySelector('body').classList.add('t-search') } </script> <style> body.t-search header#header img { filter: brightness(0) invert(0); } </style>
Result
#2. To invert Logo to White Color, use this code to Code Injection > Footer
<script> if (document.location.pathname.indexOf("/search") == 0) { document.querySelector('body').classList.add('t-search') } </script> <style> body.t-search header#header img { filter: brightness(0) invert(1); } </style>
Result
#3. To change it to a new logo, use this new code
<script> if (document.location.pathname.indexOf("/search") == 0) { document.querySelector('body').classList.add('t-search') } </script> <style> body.t-search header#header img { content: url(https://cdn.pixabay.com/photo/2024/08/06/10/43/wine-8949009_1280.jpg); } </style>
Replace Pixabay with new logo url.