@cached_property
    def is_async_gen_callable(self) -> bool:
        if self.call is None:
            return False  # pragma: no cover
        if inspect.isasyncgenfunction(
            _impartial(self.call)
        ) or inspect.isasyncgenfunction(_unwrapped_call(self.call)):
            return True
        if inspect.isclass(_unwrapped_call(self.call)):
            return False

        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: