Add E2E tests, fix bugs

Made-with: Cursor

e2e/tests/test_performance.py

@@ -0,0 +1,17 @@
+import time
+
+
+def test_health_latency_p95(base_url, api_client):
+    # Arrange
+    times = []
+    # Act
+    for _ in range(100):
+        start = time.perf_counter()
+        response = api_client.get(f"{base_url}/health")
+        elapsed = time.perf_counter() - start
+        times.append(elapsed)
+        response.raise_for_status()
+    times.sort()
+    p95 = times[94]
+    # Assert
+    assert p95 <= 0.1