Since he's not sent out to kill humans he schemes to increase his own power without playing the game. He succeeds (episodes 36). Becoming a rebel he attacks the rose tatoo lady (episode 37). However, even with his new power he's no match for N Daguba Zeba, the Gurongi leader defeats him easily (episode 39).
Zu Gooma Gu out lives all the other Zu and all the Me. He's still around after 6 of the 10 Go have been killed. Only N Daguba Zeba and the rose tatoo lady live longer than Zu Gooma Gu.