The Middleware "/src/middleware" must export a middleware or a default function

미들웨어 matcher에 추가한 페이지 home으로 replace 시에 이렇게 에러가 뜨는데 이유를 모르겠습니다 ㅠ

⨯ Error [ERR_HTTP_HEADERS_SENT]: Cannot append headers after they are sent to the client

at ServerResponse.appendHeader (node:_http_outgoing:689:11)

at AsyncLocalStorage.run (node:async_hooks:346:14)

import { auth as middleware } from "./auth";

export const config = {
  matcher: ["/compose/tweet", "/home", "/explore"],
};