Description of the problem
The documentation search field returns a 404 page when used from certain URLs, regardless of the search term used.

Error Messages

Page Not Found
The page you are looking for could not be found. Check the address bar to ensure your URL is spelled correctly. If all else fails, you can visit our home page at the link below.

Visit the Home Page

Additional context
You can reproduce by using the "search eecms docs" search input from this URL https://docs.expressionengine.com/search/latest/?q=template_id

Tested terms: module, channel, config, search, template

This URL produces a 404 as well, so you can see the 404 as described above.
https://docs.expressionengine.com/search/v5/?q=channel