deno doc --html generating incorrect url reference in subpages

[RPDJF]

This issue seems to correlate with this issue on deno: denoland/deno#25069

Link references on deno doc --html aren't correctly generated in subpages search queries, missing the base url

I have a production scenario where it doesn't work:

Actually hosting my doc through github pages (note that even simply opening index.html will result on same issue): https://rpdjf.github.io/Jikan.js/

Research on the man page works as expected, the links aren't broken:
https://rpdjf.github.io/Jikan.js/?q=jikanclient

But once we are on a subpage, like this:
https://rpdjf.github.io/Jikan.js/~/JikanClient.html

The research query will only display broken url references:
https://rpdjf.github.io/Jikan.js/~/JikanClient.html?q=animeManager

Now, when clicking on any of the search result, we end up with a 404 error, for example:
https://rpdjf.github.io/~/animeManager.html

These new research queries seems to remove the base url, returning:
https://rpdjf.github.io/~/animeManager.html instead of https://rpdjf.github.io/Jikan.js/~/animeManager.html

It seems like we lose the base url or something at some point

Using deno 2.1.4

Doc built with deno doc --html --name="Jikan.JS" .\src\v4\index.ts from root project folder