Factor out _run_push_actions_and_persist_event

Author: richvdh

synapse/handlers/federation.py

@@ -2179,6 +2179,18 @@ async def _auth_and_persist_event(
             backfilled=backfilled,
         )
 
+        await self._run_push_actions_and_persist_event(event, context, backfilled)
+
+    async def _run_push_actions_and_persist_event(
+        self, event: EventBase, context: EventContext, backfilled: bool = False
+    ):
+        """Run the push actions for a received event, and persist it.
+
+        Args:
+            event: The event itself.
+            context: The event context.
+            backfilled: True if the event was backfilled.
+        """
         try:
             if (
                 not event.internal_metadata.is_outlier()