When finished with a Game for Hosted, do you have to make the beta test public to all or can it be closed ?

[Havenstone]

See here and here:

CoG Requirements for Hosted Beta

Have a look at this thread, in which I link to a bunch of earlier ones and there’s clarification that “public” doesn’t mean “open”:

CoG Requirements for Hosted Beta

Yeah, you don’t have to make it open—no safeguards about who plays it—but it’s important that you announce it publicly and accept testers who aren’t your friends. It’s about having people with different experiences and viewpoints give it a shot, so the game isn’t made in an echo chamber.