feat(api): add health check endpoints with appropriate tags for service monitoring

backend/app/main.py

@@ -41,6 +41,12 @@ if TYPE_CHECKING:
 configure_logging()
 logger = get_logger(__name__)
 OPENAPI_TAGS = [
+    {
+        "name": "health",
+        "description": (
+            "Service liveness/readiness probes used by infrastructure and runtime checks."
+        ),
+    },
     {
         "name": "agent",
         "description": (
@@ -112,19 +118,19 @@ else:
 install_error_handling(app)
 
 
-@app.get("/health")
+@app.get("/health", tags=["health"])
 def health() -> dict[str, bool]:
     """Lightweight liveness probe endpoint."""
     return {"ok": True}
 
 
-@app.get("/healthz")
+@app.get("/healthz", tags=["health"])
 def healthz() -> dict[str, bool]:
     """Alias liveness probe endpoint for platform compatibility."""
     return {"ok": True}
 
 
-@app.get("/readyz")
+@app.get("/readyz", tags=["health"])
 def readyz() -> dict[str, bool]:
     """Readiness probe endpoint for service orchestration checks."""
     return {"ok": True}