SignOut function doesn't immediately re-invoke session change

import { headers } from "next/headers";
import { betterAuth } from "better-auth";
import { drizzleAdapter } from "better-auth/adapters/drizzle";

import { db } from "@/db";
import { user, account, session, verification } from "@/db/schema/user";
import { env } from "@/env";

export const auth = betterAuth({
  database: drizzleAdapter(db, {
    provider: "pg",
    schema: {
      user: user,
      account: account,
      session: session,
      verification: verification,
    },
  }),
  socialProviders: {
    google: {
      clientId: env.GOOGLE_CLIENT_ID,
      clientSecret: env.GOOGLE_CLIENT_SECRET,
    },
  },
});

export const currentUser = async () => {
  const session = await auth.api.getSession({
    headers: await headers(),
  });

  return session?.user;
};