Hi Michael,
Sure! The issue is caused by the theme live loader feature. When I switch to the “Doxxed projects” menu, the page does not reload, but instead the theme script live loads the page, and injects it into the current content. It is a very generic loader and it unfortunately it does not check for header changes, so it does not add the stylesheets from the loaded page, and the search appears to be broken.
Luckily we have dealt with similar issues. I have logged in and changed the following options: https://i.imgur.com/beG4o5E.png
This resolves the issue by loading the stylesheets and scripts preemptively, so it is no longer missing from the headers.