Add failing test for OpenAPI lifespan safety

Author: Riddhi8077

backend/app/__init__.py

@@ -0,0 +1,24 @@
+import pytest
+from fastapi import FastAPI
+from main import generate_openapi_json
+
+
+def test_openapi_failure_does_not_crash_app(monkeypatch):
+    def broken_openapi(*args, **kwargs):
+        raise Exception("Simulated failure")
+
+    monkeypatch.setattr(
+        "main.get_openapi",
+        broken_openapi
+    )
+
+    app = FastAPI()
+
+    try:
+        generate_openapi_json()
+        started = True
+    except Exception:
+        started = False
+
+    assert started, "App should not crash if OpenAPI generation fails"
+