Two organization with single client ID

I’m implementing a Google OAuth login where I want to allow two organizations with single client ID. Is this possible??


Is it possible?

I think it’s possible, but why? Of course, it depends on the problem you’re trying to solve, but maybe there are better alternatives instead.

Actually our institute mentors another institute. Both are separate G-Suite organizations and we have to make an app for both.

I know that we can make it an external and post process it but if by chance there is anything which google already provides…