fix: execute mode cards through deterministic assistant route

tests/e2e/test_assistant_web_api.py

@@ -757,6 +757,34 @@ class TestCodexAssistantWebApi:
         assert not FAKE_CODEX.turn_calls
         assert not FAKE_CODEX.bridge_results
 
+    def test_saved_mode_execution_uses_deterministic_route_over_http(self) -> None:
+        message = "进入办公模式"
+        FAKE_CODEX.available = False
+        with patch.object(
+            AssistantApiHandler,
+            "assistant_capability_catalog",
+            StaticSavedModeCatalog(),
+        ):
+            events = self.post_assistant(
+                {
+                    "message": message,
+                    "conversation_id": "conv-api-saved-mode-execute",
+                    "execution_mode": "dry_run",
+                }
+            )
+
+        assert events[0]["route"] == "mode_profile_execute"
+        assert events[0]["engine"] == "n7web-mode-profile-runner"
+        action = next(event for event in events if event["type"] == "action.completed")
+        assert action["success"] is True
+        assert action["payload"]["execution_mode"] == "dry_run"
+        assert events[-1]["route"] == "mode_profile_execute"
+        assert "模拟编排" in events[-1]["answer"]
+        assert len(AssistantApiHandler.service.calls) == 1
+        assert AssistantApiHandler.service.calls[0]["utterance"] == message
+        assert not FAKE_CODEX.turn_calls
+        assert not FAKE_CODEX.bridge_results
+
     def test_saved_mode_update_uses_deterministic_management_route_over_http(
         self,
     ) -> None: