Or maybe how teach will eventually be one of the hounds
And be dependent on guwon?
Or that he will be as obsessed with guwon as guwon is obsessed with him
So being dependent on each other eventually
We know that teach is a little bit missed up in the head from the first season and while its justified i think the author will expand on that
Sisyphus is a myth about a King who was punished for hubris by the gods, he was sent to the Underworld to push a giant boulder up a mountain only to have it roll down again. He would be burdened with this monotonous task forever.
Now the Underworld may be the outside world, or fuck even the inside world of their little civilization. In which case, at least now, Guwon is Sisyphus. Always acting to maintain the monotonous never-ending task of attaining peace or a functioning society. However, I don't know if I would consider him hubristic,maybe in his belief that he is a leader,but he literally is and he does acknowledge that he needs multiple people to run shit. But the "hounds" part would make sense.
However, if Sisyphus is meant to be teach then maybe his hubris is thinking he can change Guwon, or thinking he can save the others. His punishment could be to remain trapped in the metaphorical underworld that is their little civilization, tasked with the monotonous task of what though? Being a teacher? Being Guwon's lover? Would the hounds then be the actual hounds and Guwon, who have the physical power to ensure he never makes it out of the underworld?
Idk I lowkey ended up with more questions than answers.

there must be a reason it's called hounds of sisyphus hmmm i wonder if "sisyphus" in this case refers to jinwoo (teach) and all the hounds eventually follow him and guwon becomes a hound for him too