eclipse: "your loss was apparent the second you made this into a battle of stamina. // it's just a make-up lesson for p.e."
gg: "you lost when this turned into a matter of physical strength. // i'll just take more physical education"
hard to say since i don't speak moon, gg's makes sense in that his response fits his lack of physical strength
eclipse: "but, people with no power must bear it with patience, even if it's towards the wrong people"
gg: "but those without power have to endure it. even if the others are wrong"
gg's makes more sense to me
eclipse: "if rumors of this were to spread, i wouldn't have any face to hang on to anymore. // i don't have a tendency to spread rumors- // no, student. i'm referring to the cheap shot you pulled."
gg: "i'll lose face if this rumor spreads. // i'm not the type to gossip. // not that, mr. student. i'm talking about your cheating."
cheating makes more sense than cheap shot, considering they talk about arresting him for it a few lines later
eclipse: "is friendship enough for justice? // all that remains for the bait is the truth known as death. // then, you shall all leave behind the truth."
gg: "can friendship coexist with justice? // all that remains for the bait is death. // then the same shall remain for you."
gg's is worded a bit more smoothly, while eclipse's is more literal. as for the first line, i don't know which is more accurate, not that it's a plot-changing point or anything