can a single OAuth 2.0 Client IDs Credential work for different Domeins in other gsuite accounts?

Question

We have Gsuite account where we created a OAuth 2.0 Client IDs (picture below) in order to implement our client application to users for Single sing on using (Using OAuth 2.0 for Web Server Applications: https://developers.google.com/identity/protocols/oauth2/web-server). Is this ClienId sufficient to have in order for any private gmail domein to have access to our app thru sso? Is there a limitations of domains our app might have linked to this clientID? many of our clients have their own Gsuite account, but since we host the application, I imagine they don't have to create a clientID for every single gsuite account right? I tested and with different domain outside of our gsuite account and it works. I was just wondering what could go wrong in terms of limitations of domains or users? Thanks guys appreciated.