feat(desktop): worktree-aware sidebar grouping + composer/sidebar UX fixes

Group recents as parent-repo → worktree → sessions using local git
metadata (probed over IPC, with a path-name heuristic fallback for
remote backends). Single-worktree repos collapse to one level. Sessions
order by creation time and never reshuffle on new messages.

Also: fuse the status stack to the composer border, restore icon actions
in the queue panel, fix sidebar label truncation and drag styling, hide
sticky-message attachments while pinned, and bump the terminal font.

apps/desktop/src/lib/desktop-fs.ts

@@ -1,7 +1,12 @@
+import type {
+  HermesConnection,
+  HermesReadDirResult,
+  HermesReadFileTextResult,
+  HermesSelectPathsOptions,
+  HermesWorktreeInfo
+} from '@/global'
 import { $connection } from '@/store/session'
 
-import type { HermesConnection, HermesReadDirResult, HermesReadFileTextResult, HermesSelectPathsOptions } from '@/global'
-
 export interface DesktopFsRemotePicker {
   selectPaths: (options?: HermesSelectPathsOptions) => Promise<string[]>
 }
@@ -75,6 +80,19 @@ export async function desktopGitRoot(path: string): Promise<string | null> {
   return result.root
 }
 
+// Worktree detection runs against the LOCAL filesystem (the electron main
+// process). For a remote backend the session cwds live on another machine, so
+// we can't resolve them here — callers fall back to the path-name heuristic.
+export async function desktopWorktrees(cwds: string[]): Promise<Record<string, HermesWorktreeInfo | null>> {
+  if (isDesktopFsRemoteMode()) {
+    return {}
+  }
+
+  const desktop = bridge()
+
+  return desktop.worktrees ? desktop.worktrees(cwds) : {}
+}
+
 export async function desktopDefaultCwd(): Promise<{ branch: string; cwd: string } | null> {
   if (!isDesktopFsRemoteMode()) {
     return null