What is there an immortal gundam god like Shujigod in gundamverse? I don't remember an existence like that being mentioned anywhere before.

This is Tomino's avatar. Say something nice to him.

Dread it, run from it, destiny still arrives

Is Shuuji really a time cop or if he doing all of this for the chance to sniff brown pussy

Season 2 never because the Gquxverse will cease to exist. Even so, Shuji the omnipotent being will still remain.

So where does Shuji hang out anyway? It has to be somewhere outside of normal space and time.