Mypy does not pass with asgiref type annotated Middleware

[MarkusSintonen]

asgiref typed middleware example in documentation does not work with type checking.

Following example taken from the doc gives mypy error:

from asgiref.typing import ASGI3Application, ASGIReceiveCallable, ASGISendCallable, ASGISendEvent, Scope
from starlette.applications import Starlette
from starlette.middleware import Middleware

# This is same as in https://www.starlette.io/middleware/#type-annotations
class ASGIMiddleware:
    def __init__(self, app: ASGI3Application) -> None:
        self.app = app

    async def __call__(self, scope: Scope, receive: ASGIReceiveCallable, send: ASGISendCallable) -> None:
        if scope["type"] != "http":
            await self.app(scope, receive, send)
            return

        async def send_wrapper(message: ASGISendEvent) -> None:
            await send(message)

        return await self.app(scope, receive, send_wrapper)

# Here mypy complains
app_test = Starlette(
    middleware=[Middleware(ASGIMiddleware)],  #  error: Argument 1 to "Middleware" has incompatible type "type[ASGIMiddleware]"; expected "type[_MiddlewareClass[[]]]"  [arg-type]
)

How should asgiref typed middlewares be used?