if lifespan is None:
            # Use the default lifespan that runs on_startup/on_shutdown handlers
            lifespan_context: Lifespan[Any] = _DefaultLifespan(self)
        elif inspect.isasyncgenfunction(lifespan):
            lifespan_context = asynccontextmanager(lifespan)
        elif inspect.isgeneratorfunction(lifespan):
            lifespan_context = _wrap_gen_lifespan_context(lifespan)
        else: