chore(docs): cleanup Google Provider page

docs/pages/getting-started/providers/google.mdx

@@ -43,7 +43,7 @@ AUTH_GOOGLE_SECRET
 <Code>
   <Code.Next>
 
-```ts filename="/auth.ts"
+```ts filename="@/auth.ts"
 import NextAuth from "next-auth"
 import Google from "next-auth/providers/google"
 
@@ -77,9 +77,11 @@ app.use("/auth/*", ExpressAuth({ providers: [Google] }))
   </Code.Express>
 </Code>
 
-### Notes
+## Notes
 
-1. Google only provides Refresh Token to an application the first time a user signs in.
+### Refresh Token
+
+Google only provides Refresh Token to an application the first time a user signs in.
 
 To force Google to re-issue a Refresh Token, the user needs to remove the application from their account and sign in again:
 https://myaccount.google.com/permissions
@@ -88,8 +90,8 @@ Alternatively, you can also pass options in the `params` object of `authorizatio
 
 If you need access to the RefreshToken or AccessToken for a Google account and you are not using a database to persist user accounts, this may be something you need to do.
 
-```js filename="pages/api/auth/[...nextauth].js"
-const options = {
+```ts filename="app/api/auth/[...nextauth]/route.ts"
+export const { handlers, auth, signIn, signOut } = NextAuth({
   providers: [
     GoogleProvider({
       clientId: process.env.GOOGLE_ID,
@@ -103,16 +105,17 @@ const options = {
       },
     }),
   ],
-}
+})
 ```
 
-2. Google also returns a `email_verified` boolean property in the OAuth profile.
+### Email Verified
+
+Google also returns a `email_verified` boolean property in the OAuth profile.
 
 You can use this property to restrict access to people with verified accounts at a particular domain.
 
-```js
-const options = {
-  ...
+```ts filename="@/auth.ts"
+export const { handlers, auth, signIn, signOut } = NextAuth({
   callbacks: {
     async signIn({ account, profile }) {
       if (account.provider === "google") {
@@ -121,6 +124,5 @@ const options = {
       return true // Do different verification for other providers that don't have `email_verified`
     },
   }
-  ...
-}
+})
 ```