Is it a doomed session or a null session if it just two players both with space and time aspects, frog temple and the forge? Does it become doomed if one of the players chooses to not end the session and destroys the genesis tadploe?

A Session with two Players, one Space and one Time, with the Frog Temple and the Forge, is neither Doomed nor Null by default, it sounds like a viable Session really. Null is if, regardless of what happens in the Session, it’s 100% Impossible to Win the Game. It would be Doomed if someone decided to fuck the Genesis Tadpole up, or do something bad, but otherwise, it’s a totally viable Session.