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/project/src/manifest_tree/server_tree.rs

@@ -74,6 +74,7 @@ impl LanguageServerTreeNode {
     pub(crate) fn server_id(&self) -> Option<LanguageServerId> {
         self.0.upgrade()?.id.get().copied()
     }
+
     /// Returns a language server ID for this node if it has already been initialized; otherwise runs the provided closure to initialize the language server node in a tree.
     /// May return None if the node no longer belongs to the server tree it was created in.
     pub(crate) fn server_id_or_init(
@@ -87,6 +88,11 @@ impl LanguageServerTreeNode {
                 .get_or_init(|| init(LaunchDisposition::from(&*this))),
         )
     }
+
+    /// Returns a language server name as the language server adapter would return.
+    pub fn name(&self) -> Option<LanguageServerName> {
+        self.0.upgrade().map(|node| node.name.clone())
+    }
 }
 
 impl From<Weak<InnerTreeNode>> for LanguageServerTreeNode {