Include Studio identity secret readiness status

app/api/health.py

@@ -42,12 +42,14 @@ async def _readiness(request: Request) -> JSONResponse:
     """Report database/schema readiness without disclosing credentials or DSNs."""
     container = request.app.state.container
     database = container.security_database
+    identity_secret = container.settings.studio_identity_secret
+    identity_configured = bool(identity_secret and len(identity_secret.get_secret_value()) >= 32)
     try:
         missing = await database.missing_schema_objects()
     except Exception:
         return JSONResponse(
             status_code=503,
-            content={"status": "not_ready", "database": "unavailable", "schema_ready": False},
+            content={"status": "not_ready", "database": "unavailable", "schema_ready": False, "studio_identity_configured": identity_configured},
         )
     if missing:
         return JSONResponse(
@@ -57,6 +59,7 @@ async def _readiness(request: Request) -> JSONResponse:
                 "database": "connected",
                 "schema_ready": False,
                 "missing_schema_objects": missing,
+                "studio_identity_configured": identity_configured,
             },
         )
     try:
@@ -72,6 +75,18 @@ async def _readiness(request: Request) -> JSONResponse:
                 "database": "connected",
                 "schema_ready": True,
                 "execution_role_ready": False,
+                "studio_identity_configured": identity_configured,
+            },
+        )
+    if not identity_configured:
+        return JSONResponse(
+            status_code=503,
+            content={
+                "status": "not_ready",
+                "database": "connected",
+                "schema_ready": True,
+                "execution_role_ready": True,
+                "studio_identity_configured": False,
             },
         )
     return JSONResponse(
@@ -81,6 +96,7 @@ async def _readiness(request: Request) -> JSONResponse:
             "database": "connected",
             "schema_ready": True,
             "execution_role_ready": True,
+            "studio_identity_configured": True,
         },
     )