@asynccontextmanager
    async def lifespan(
        app: FastAPI,
    ) -> AsyncGenerator[dict[str, Union[str, bool]], None]:
        yield {
            "app_specific": True,
            "overridden": "app",
        }

    @asynccontextmanager
    async def router_lifespan(
        app: FastAPI,
    ) -> AsyncGenerator[dict[str, Union[str, bool]], None]: