How to export types of an nuxt plugin?

import { createAuthClient } from "better-auth/vue";
export default defineNuxtPlugin(() => {
  const authClient = createAuthClient({});

  return {
    provide: {
      authClient,
    },
  };
});

import { createAuthClient } from "better-auth/vue";

export const authClient = createAuthClient({});

export type AuthSession = (typeof authClient.$Infer.Session)["session"];
export type AuthUser = (typeof authClient.$Infer.Session)["user"];