Unable to perform Google Sign In after upgrade to v2.44.4

[luiyongsheng]

Bug report

• I confirm this is a bug with Supabase, not with my own application.
• I confirm I have searched the Docs, GitHub Discussions, and Discord.

Describe the bug

My web app was using v2.44.3. The app itself will automatically signs user in anonymously after user passed the Cloudflare Turnstile checks. We will prompt user to login with their Google accounts at multiple places, there are two options for user to choose from:

1. Connect your Google account (uses the linkIdentity() function)
2. Sign in (uses the signInWithOAuth() function)

But after I upgrade the package to v2.44.4, the user sign in is broken, users still remain as guest/anon even after multiple attempts to login or connect their Google account.

To Reproduce

Steps to reproduce the behavior:

1. Follow the Supabase official tutorial to create a NextJS App Router project with server side auth.
2. Create a callback endpoint to capture the code for supabase.auth.exchangeCodeForSession(code);
3. Read the value of await supabase.auth.getUser();, user is not logged in.
4. Downgrade the supabase-js version to v2.44.3, you will be able to see the user data after exchangeCodeForSession()

Expected behavior

Expected user to be logged in.

Screenshots

N/A

System information

• OS: macOS
• Version of supabase-js: v2.44.4
• Version of Node.js: v20.11.0

Additional context

N/A