add git branch picker + status bar indicator

git.branches and git.checkout IPC verbs. Status bar shows current
branch with ahead/behind count; clicking opens a branch picker
dialog for checkout.

Co-Authored-By: Claude <noreply@anthropic.com>

lib/src/daemon/git_commands.dart

@@ -218,6 +218,37 @@ void registerGitCommands(
       return _gitError(req.id, e);
     }
   });
+
+  d.register('git.branches', (req) async {
+    final branches = await gitBranches(workDir);
+    return IpcResponse.ok(id: req.id, data: {
+      'branches': [
+        for (final b in branches)
+          {'name': b.name, 'current': b.current},
+      ],
+    });
+  });
+
+  d.register('git.checkout', (req) async {
+    final branch = req.args['branch'] as String?;
+    if (branch == null || branch.isEmpty) {
+      return IpcResponse.err(
+        id: req.id,
+        error: IpcError(
+          code: IpcExitCode.userError,
+          kind: IpcErrorKind.userError,
+          message: 'git.checkout requires a branch',
+        ),
+      );
+    }
+    try {
+      await gitCheckout(workDir, branch);
+      _emitChanged(events);
+      return IpcResponse.ok(id: req.id, data: {'branch': branch});
+    } on GitException catch (e) {
+      return _gitError(req.id, e);
+    }
+  });
 }
 
 List<String> _pathList(Object? raw) {

lib/src/git/operations.dart

@@ -194,6 +194,37 @@ Future<String> gitPush(
   return ((r.stdout as String) + (r.stderr as String)).trim();
 }
 
+/// List local branches. Returns (name, isCurrent) pairs.
+Future<List<({String name, bool current})>> gitBranches(
+    Directory workDir) async {
+  final r = await Process.run(
+    'git',
+    ['branch', '--format=%(refname:short)\x00%(HEAD)'],
+    workingDirectory: workDir.path,
+  );
+  if (r.exitCode != 0) return const [];
+  final out = <({String name, bool current})>[];
+  for (final line in (r.stdout as String).split('\n')) {
+    if (line.trim().isEmpty) continue;
+    final parts = line.split('\x00');
+    if (parts.length < 2) continue;
+    out.add((name: parts[0], current: parts[1].trim() == '*'));
+  }
+  return out;
+}
+
+/// Checkout a branch.
+Future<void> gitCheckout(Directory workDir, String branch) async {
+  final r = await Process.run(
+    'git',
+    ['checkout', branch],
+    workingDirectory: workDir.path,
+  );
+  if (r.exitCode != 0) {
+    throw GitException('git checkout failed', stderr: r.stderr as String);
+  }
+}
+
 /// Get the current branch name.
 Future<String?> gitCurrentBranch(Directory workDir) async {
   final r = await Process.run(