I didn't think about it like that, wait-- at first I'm thinking about it to literally, like Guwon has his hounds and stuff and he even has his boulder. I thought he was Sisyphus in that he cheated death with that one scene where he's under rubble and his hand twitches. But is makes so much sense that teach would be Sisyphus like Blackcat and Flower said. He cheats death initially with Guwon taking him in, and my media literacy isn't good enough to tell when the other time is. But his boulder/punishment is Guwon. Teach has to help/try to change/ redirect (idk how to put it into words) but Guwon cant be helped. Teach is bound to Guwon now. Just like Sisyphus, he has to roll a boulder up a hill only for it to roll back down before reaching the top. It never reach the top.

Hear me out… Hounds of Sisyphus… Sisyphus is not Guwon…