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Wow, this morning my fish are looking a ton better! I don't notice any spots anymore, and if I do see something, it's even tinier. I think the heat is healing them. It's about 86*F-88*F. I think I will keep the heat on until the end of the week, just to be sure.
I would not move them. Just because you "think" they're cured is not enough. Leave them in the hospital (where you treat sick fish) tank for another week.