Use new language server info on remote servers (#35682)

* Straightens out the `*_ext.rs` workflow for clangd and rust-analyzer:
no need to asynchronously query for the language server, as we sync that
information already.
* Fixes inlay hints editor menu toggle not being shown in the remote
sessions

Release Notes:

- Fixed inlay hints editor menu toggle not being shown in the remote
sessions

crates/editor/src/editor.rs

@@ -22192,7 +22192,6 @@ impl SemanticsProvider for Entity<Project> {
     }
 
     fn supports_inlay_hints(&self, buffer: &Entity<Buffer>, cx: &mut App) -> bool {
-        // TODO: make this work for remote projects
         self.update(cx, |project, cx| {
             if project
                 .active_debug_session(cx)