GCP OAuth Google Sign-In

I've seen that Supabase includes Google among Auth Providers. But to use it, it is necessary to set up GCP OAuth, and connect the GCP project to Supabase.

GCP OAuth service has a price: https://cloud.google.com/identity-platform/pricing

Does that mean that I will have to pay to Google (through GCP) for every Google Sign-in which happens in my app, apart from the Supabase cost itself?
Google Cloud
Review pricing for Identity Platform
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