supabase google auth and redirect url. has to be web deployed?

Hello,
I am lost with something stupid
I have setup google auth with supabase:

The google opup appears and I can login BUT the second dialog will never appears.I ma testing on local on Chrome.

What happens is when I am logged in open the site URL I have setup ine supabase:

So I am not anymore on localhost but on the published version of my app on https://myapp.flutterflow.app.

And if I don't publish on the web, after login I have an error screen:

So What Do I have to do?I am lost 🙂
Do I have to publish on the web?
what redirect url in supabase??

thank you in advance...

Flutter Dev