Auto merge of #69402 - GuillaumeGomez:extend-search, r=kinnison
Extend search
I realized that when looking for "struct:String" in the rustdoc search for example, the "in arguments" and "returned" tabs were always empty. After some investigation, I realized it was because we only provided the name, and not the type, making it impossible to pass the "type filtering" check.
To resolve this, I added the type alongside the name. Note for the future: we could improve this by instead only registering the path id and use the path dictionary directly. The only problem with that solution (which I already tested) is that it becomes complicated for types in other crates. It'd force us to handle both case with an id and a case with `(name, type)`. I found the current PR big enough to not want to provide it directly. However, I think this is definitely worth it to make it work this way in the future.
About the two tests I added: they don't have much interest except checking that we actually have something returned in the search in the cases of a type filtering with and without literal search.
I also had to update a bit the test script to add the new locally global (haha) variable I created (`NO_TYPE_FILTER`). I added this variable to make the code easier to read than just "-1".