fix(k1): stabilize live recovery and media admission

tests/test_xgrids_application_session.py

@@ -394,7 +394,10 @@ def _wait_phase(
     session: InteractiveApplicationControlSession,
     expected: str,
 ) -> dict[str, object]:
-    deadline = time.monotonic() + 2.0
+    # FakeExecutor may use its full two-second checkpoint timeout before the
+    # worker publishes the terminal state. Keep the observer deadline strictly
+    # larger so this helper does not race the transition it is asserting.
+    deadline = time.monotonic() + 3.0
     while time.monotonic() < deadline:
         snapshot = session.snapshot()
         if snapshot["state"] == expected: