Preserve namespaced Codex tools across external model calls

apps/desktop/assets/codex-bridge/test_model_switch.py

@@ -43,7 +43,12 @@ class ModelSwitch(unittest.TestCase):
             {"type": "custom_tool_call_output", "id": "ctco_4827", "call_id": "call_4827", "output": "result-4827"},
         ], "tools": [{"type": "namespace", "name": "functions", "tools": [{"type": "custom", "name": "probe"}]}]}
         req = copy.deepcopy(original)
-        self.assertEqual(env["flatten_request"](req), {"probe"})
+        names = {}
+        custom = env["flatten_request"](req, names)
+        alias = req["tools"][0]["name"]
+        self.assertEqual(custom, {alias})
+        self.assertEqual(names[alias], ("functions", "probe"))
+        self.assertEqual(req["input"][0]["name"], alias)
         env["fix_tool_ids"](req)
         self.assertEqual(json.loads(req["input"][0]["arguments"]), {"input": "remember-4827"})
         self.assertEqual(req["input"][1]["output"], "result-4827")