Next.js middleware docs show setting request cookies in place? about supabase HOT 3 CLOSED

response = NextResponse.next({
  request: {
    headers: request.headers,
  },
})

request.cookies.set({
            name,
            value,
            ...options,
          })
          response = NextResponse.next({
            request: {
              headers: request.headers,
            },
          })

let response = NextResponse.next({
    request: {
      headers: request.headers,
    },
  });

  const supabase = createServerClient<Database>(
    process.env.NEXT_PUBLIC_SUPABASE_URL!,
    process.env.NEXT_PUBLIC_SUPABASE_ANON_KEY!,
    {
      cookies: {
        get(name: string) {
          return request.cookies.get(name)?.value;
        },
        set(name: string, value: string, options: CookieOptions) {
          response.cookies.set(name, value, options);
        },
        remove(name: string, options: CookieOptions) {
          response.cookies.set(name, "", options);
        },
      },
    },
  );