language servers: Fix wrong language server name (#20428)

This fixes the issue of multiple language servers showing up as `node`
in the language server logs dropdown.

It does this by changing `language_server.name()` to return the
adapter's name, not the binary name, and changing types to make sure
that we always use this.

Release Notes:

- Fixed language server names showing up only as `"node"`

---------

Co-authored-by: Sam Rose <hello@samwho.dev>
Co-authored-by: Bennet <bennet@zed.dev>

crates/activity_indicator/Cargo.toml

@@ -20,6 +20,7 @@ extension_host.workspace = true
 futures.workspace = true
 gpui.workspace = true
 language.workspace = true
+lsp.workspace = true
 project.workspace = true
 smallvec.workspace = true
 ui.workspace = true