Fix missing await when running shutdown jobs (#106632)

homeassistant/core.py

@@ -889,7 +889,7 @@ class HomeAssistant:
                         continue
                     tasks.append(task_or_none)
                 if tasks:
-                    asyncio.gather(*tasks, return_exceptions=True)
+                    await asyncio.gather(*tasks, return_exceptions=True)
         except asyncio.TimeoutError:
             _LOGGER.warning(
                 "Timed out waiting for shutdown jobs to complete, the shutdown will"

tests/test_core.py

@@ -2605,6 +2605,9 @@ async def test_shutdown_job(hass: HomeAssistant) -> None:
     evt = asyncio.Event()
 
     async def shutdown_func() -> None:
+        # Sleep to ensure core is waiting for the task to finish
+        await asyncio.sleep(0.01)
+        # Set the event
         evt.set()
 
     job = HassJob(shutdown_func, "shutdown_job")