fix: broadcast single task completion status to web ui

tests/test_task_manager_status_broadcast.py

@@ -0,0 +1,40 @@
+import asyncio
+
+from src.web.task_manager import task_manager
+
+
+class FakeWebSocket:
+    def __init__(self):
+        self.messages = []
+
+    async def send_json(self, payload):
+        self.messages.append(payload)
+
+
+def test_update_status_broadcasts_to_registered_websocket():
+    async def run_test():
+        task_uuid = "test-status-broadcast"
+        websocket = FakeWebSocket()
+
+        task_manager.set_loop(asyncio.get_running_loop())
+        task_manager.register_websocket(task_uuid, websocket)
+
+        try:
+            task_manager.update_status(
+                task_uuid,
+                "completed",
+                email="demo@example.com",
+                email_service="tempmail",
+            )
+
+            await asyncio.sleep(0.05)
+
+            assert websocket.messages, "expected a status message to be broadcast"
+            assert websocket.messages[-1]["type"] == "status"
+            assert websocket.messages[-1]["status"] == "completed"
+            assert websocket.messages[-1]["email"] == "demo@example.com"
+            assert websocket.messages[-1]["email_service"] == "tempmail"
+        finally:
+            task_manager.unregister_websocket(task_uuid, websocket)
+
+    asyncio.run(run_test())