fix(ts): add overloads to withAuth middleware (#7999)

* fix(ts): add overloads to withAuth middleware

* fix: allow extends Request on returned middleware handler

* chore: simplify return type for withAuth returning middleware

* chore: remove withAuth overloads generics

---------

Co-authored-by: Thang Vu <hi@thvu.dev>

Author: rexfordessilfie

packages/next-auth/src/next/middleware.ts

@@ -186,7 +186,39 @@ export type WithAuthArgs =
  * ---
  * [Documentation](https://next-auth.js.org/configuration/nextjs#middleware)
  */
-export function withAuth(...args: WithAuthArgs) {
+
+export function withAuth(): ReturnType<NextMiddlewareWithAuth>
+
+export function withAuth(
+  req: NextRequestWithAuth
+): ReturnType<NextMiddlewareWithAuth>
+
+export function withAuth(
+  req: NextRequestWithAuth,
+  event: NextFetchEvent
+): ReturnType<NextMiddlewareWithAuth>
+
+export function withAuth(
+  req: NextRequestWithAuth,
+  options: NextAuthMiddlewareOptions
+): ReturnType<NextMiddlewareWithAuth>
+
+export function withAuth(
+  middleware: NextMiddlewareWithAuth,
+  options: NextAuthMiddlewareOptions
+): NextMiddlewareWithAuth
+
+export function withAuth(
+  middleware: NextMiddlewareWithAuth
+): NextMiddlewareWithAuth
+
+export function withAuth(
+  options: NextAuthMiddlewareOptions
+): NextMiddlewareWithAuth
+
+export function withAuth(
+  ...args: WithAuthArgs
+): ReturnType<NextMiddlewareWithAuth> | NextMiddlewareWithAuth {
   if (!args.length || args[0] instanceof Request) {
     // @ts-expect-error
     return handleMiddleware(...args)