Add reflection scheduler

src/dashboard/app.py

@@ -232,6 +232,22 @@ _SYNTHESIZED_STATE: dict = {
 }
 
 
+
+async function _reflection_scheduler() -> None:
+    """Background task: execute Timmy's self-reflection cycle every 4 hours."""
+    from timmy.reflection import reflection_engine
+
+    await asyncio.sleep(15)  # Stagger after other schedulers
+
+    while True:
+        try:
+            await reflection_engine.reflect_once()
+        except Exception as exc:
+            logger.error("Reflection scheduler error: %s", exc)
+
+        await asyncio.sleep(4 * 3600)
+
+
 async def _presence_watcher() -> None:
     """Background task: watch ~/.timmy/presence.json and broadcast changes via WS.
 
@@ -379,6 +395,7 @@ def _startup_background_tasks() -> list[asyncio.Task]:
         asyncio.create_task(_thinking_scheduler()),
         asyncio.create_task(_loop_qa_scheduler()),
         asyncio.create_task(_presence_watcher()),
+        asyncio.create_task(_reflection_scheduler()),
         asyncio.create_task(_start_chat_integrations_background()),
     ]