Allow specific status codes while notifying mobile_app devices (#30496)

* Removed check and return with a notification status of 201

* Allow additional result codes

Allow 200, 201, and 202 as valid result codes

homeassistant/components/mobile_app/notify.py

@@ -134,9 +134,9 @@ class MobileAppNotificationService(BaseNotificationService):
                     response = await self._session.post(push_url, json=data)
                     result = await response.json()
 
-                if response.status == 201:
+                if response.status in [200, 201, 202]:
                     log_rate_limits(self.hass, entry_data[ATTR_DEVICE_NAME], result)
-                    return
+                    continue
 
                 fallback_error = result.get("errorMessage", "Unknown error")
                 fallback_message = "Internal server error, please try again later: {}".format(