NextConnect use a middleware inside another

Question

I have an auth middleware that I want to use it's logic to develop other middlewares (ie: adminMiddleware, receptionMiddleware ...)

// adminMiddleware.ts
const authMiddleware = async (
  req: NextApiRequest,
  res: NextApiResponse,
  next: NextHandler
) => {
   // logic to check authentication status
  (req as NextApiRequestWithSession).session = obj;
  next();
};

I wrote the code below but I don't think it would work or if it's the best solution:

const adminMiddleware = (
  req: NextApiRequest,
  res: NextApiResponse,
  next: NextHandler
) =>
  nc()
    .use(authMiddleware, async (req: NextApiRequestWithSession, res, next) => {
      // check if the auth user is an admin
      return next();
    }) as NextConnect<NextApiRequestWithUser, NextApiResponse>;
export default adminMiddleware;