fix: align Lingma tool event lifecycle handling

Handle tool/invokeResult and richer tool/call/sync payloads in the client,
and document/retest the verified VSCode monitoring workflow for tool events.

Co-Authored-By: Claude Opus 4.7 <noreply@anthropic.com>

tests/test_tool_call_bridge.py

@@ -288,5 +288,52 @@ class ToolCallBridgeTests(unittest.IsolatedAsyncioTestCase):
         self.assertIn("event: message_stop", body)
 
 
-if __name__ == "__main__":
-    unittest.main()
+class LingmaClientToolEventExtractionTests(unittest.TestCase):
+    def test_extracts_tool_event_from_results_and_parameters(self) -> None:
+        from app.lingma_client import LspWsRpcClient
+
+        event = LspWsRpcClient._extract_tool_event(
+            {
+                "toolCallId": "call_sync_1",
+                "parameters": {"path": "README.md"},
+                "results": [
+                    {
+                        "toolCallId": "call_sync_1",
+                        "name": "read_file",
+                        "result": {"ok": True},
+                    }
+                ],
+            }
+        )
+
+        self.assertEqual(
+            event,
+            {
+                "id": "call_sync_1",
+                "name": "read_file",
+                "input": {"path": "README.md"},
+                "result": {"ok": True},
+            },
+        )
+
+    def test_extracts_tool_event_from_invoke_result_payload(self) -> None:
+        from app.lingma_client import LspWsRpcClient
+
+        event = LspWsRpcClient._extract_tool_event(
+            {
+                "toolCallId": "call_inv_1",
+                "name": "search_docs",
+                "parameters": {"query": "gateway"},
+                "result": {"hits": 3},
+            }
+        )
+
+        self.assertEqual(
+            event,
+            {
+                "id": "call_inv_1",
+                "name": "search_docs",
+                "input": {"query": "gateway"},
+                "result": {"hits": 3},
+            },
+        )