fix(scheduler): persist codebase inventory terminal status

tests/test_codebase_modularization_performance_service.py

@@ -59,3 +59,23 @@ def test_scheduler_owns_daily_inventory_runtime():
 
     assert 'day.at("04:15").do(run_codebase_modularization_performance_task)' in source
     assert '_save_stats("codebase_modularization_performance", payload)' in source
+
+
+def test_scheduler_inventory_task_persists_completed_terminal_status(monkeypatch, tmp_path):
+    import run_scheduler
+
+    receipt_path = tmp_path / "latest.json"
+    saved = []
+    monkeypatch.setenv("CODEBASE_INVENTORY_RECEIPT_PATH", str(receipt_path))
+    monkeypatch.setattr(
+        run_scheduler,
+        "_save_stats",
+        lambda task_name, payload: saved.append((task_name, payload)),
+    )
+
+    result = run_scheduler.run_codebase_modularization_performance_task()
+
+    assert result["status"] == "completed"
+    assert result["receipt_path"] == str(receipt_path)
+    assert saved == [("codebase_modularization_performance", result)]
+    assert receipt_path.exists()