Ah, that totally makes sense. I spent an entire day on this ahaha. Wow. o0) For it to be that simple a misunderstanding is glorious.
Still this brings me some solid insight and I appreciate the response.
NOTE: This is NOT a homework problem. I created this one myself based on some problems I have seen, with specific numbers used to make calculation clean and easy.
Tl/dr version: in a round trip to a star, will the "moving clock" run slower on the way there but faster on the way back due to the...