),
        ] = State()
        self.dependency_overrides: Annotated[
            dict[Callable[..., Any], Callable[..., Any]],
            Doc(
                """
                A dictionary with overrides for the dependencies.

                Each key is the original dependency callable, and the value is the
                actual dependency that should be called.

# dependencies' AsyncExitStack
def request_response(
    func: Callable[[Request], Union[Awaitable[Response], Response]],
) -> ASGIApp:
    """
    Takes a function or coroutine `func(request) -> response`,
    and returns an ASGI application.
    """
    f: Callable[[Request], Awaitable[Response]] = (