Add language server control tool into the status bar (#32490)

Release Notes:

- Added the language server control tool into the status bar

---------

Co-authored-by: Nate Butler <iamnbutler@gmail.com>

crates/remote_server/src/headless_project.rs

@@ -301,11 +301,13 @@ impl HeadlessProject {
         match event {
             LspStoreEvent::LanguageServerUpdate {
                 language_server_id,
+                name,
                 message,
             } => {
                 self.session
                     .send(proto::UpdateLanguageServer {
                         project_id: SSH_PROJECT_ID,
+                        server_name: name.as_ref().map(|name| name.to_string()),
                         language_server_id: language_server_id.to_proto(),
                         variant: Some(message.clone()),
                     })