feat: status includes is_admin, gear icon in header for admins

Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>

tests/test_api.py

@@ -146,6 +146,20 @@ def test_audio_combined_forbidden_for_non_admin():
         app.dependency_overrides.pop(current_user, None)
 
 
+def test_status_includes_is_admin():
+    from main import app
+    from api.router import current_user
+    app.dependency_overrides[current_user] = lambda: {"username": "u", "output_dir": "/tmp", "is_admin": True}
+    try:
+        from fastapi.testclient import TestClient
+        client = TestClient(app)
+        r = client.get("/status", headers={"Authorization": "Bearer fake"})
+        assert r.status_code == 200
+        assert r.json()["is_admin"] is True
+    finally:
+        app.dependency_overrides.pop(current_user, None)
+
+
 def test_put_config_deep_merges(tmp_path, monkeypatch):
     import config as cfg_mod
     monkeypatch.setattr(cfg_mod, "CONFIG_PATH", str(tmp_path / "config.toml"))