fix(gateway): enter per-message profile scope off the event loop too

Same class as the handoff watcher (#100014): the secondary/primary message
handlers and the scoped inbound-preprocess hop entered
_profile_runtime_scope synchronously on the loop thread, so a slow
profile .env read or external secret-source hydration stalled every other
adapter's traffic. Route those three async sites through
_async_profile_runtime_scope (asyncio.to_thread load, then the existing
sync scope with prepared_secret_scope=). _format_session_info_scoped is
already called via asyncio.to_thread and stays sync.

gateway/run.py

@@ -17377,7 +17377,7 @@ class GatewayRunner(GatewayAuthorizationMixin, GatewayKanbanWatchersMixin, Gatew
             except Exception:
                 pass
             if profile_home is not None:
-                with _profile_runtime_scope(profile_home):
+                async with _async_profile_runtime_scope(profile_home):
                     return await self._handle_message(event)
             return await self._handle_message(event)
 
@@ -17441,7 +17441,7 @@ class GatewayRunner(GatewayAuthorizationMixin, GatewayKanbanWatchersMixin, Gatew
                 if getattr(source, "profile", None)
                 else default_home
             )
-            with _profile_runtime_scope(profile_home):
+            async with _async_profile_runtime_scope(profile_home):
                 return await self._handle_message(event)
 
         return _handler
@@ -20435,7 +20435,9 @@ class GatewayRunner(GatewayAuthorizationMixin, GatewayKanbanWatchersMixin, Gatew
     ) -> Optional[str]:
         """Run inbound preprocessing under the routed profile when multiplexed."""
         if getattr(getattr(self, "config", None), "multiplex_profiles", False):
-            with _profile_runtime_scope(self._resolve_profile_home_for_source(source)):
+            async with _async_profile_runtime_scope(
+                self._resolve_profile_home_for_source(source)
+            ):
                 return await self._prepare_inbound_message_text(
                     event=event,
                     source=source,