How do I change the site tile (logo) colour depending on the page?

Site URL: https://flamingoestate.com/

Hey there, trying to re-create this effect where on the home page the site tile/logo is one colour but when it changes pages the colour changes? so far when i've tried its changed the colour on all pages but i want it to only change specifically when the back ground changes colour!  any help would be fab! thanks :)

It looks like you solved with this code?

.supports-sticky .Search[aria-hidden="true"] + .Header .Header__LogoImage {
    filter: brightness(0) invert(1);
}