Worth Taking a Class at a School Someone didn't Graduate From?

Asking for a friend.

My friend graduated from a lower tier ivy with a 4.0 and transferred from a state school after 1 year. His GPA at the state school was a 3.56 - he got in the ivy as a transfer because he got into the ivy in high school but decided not to go before deciding to apply to transfer - thinks he wouldn't have gotten in otherwise.

Apparently can get his GPA at the state school from a 3.56 to a 3.64 with an A in one class and, since the school is online, this semester could be his only chance to take a class like that. It seems kind of arbitrary but maybe the difference between a 3.5 and a 3.6 looks big. Would it be worth it if he's specifically targeting H/S MBA programs down the line? Seeing as he got a 4.0 in his ivy school that should outweigh a 3.56 at the state school right? And wouldn't it look weird if he took a random class 3 years after he left the original school? Am I wrong or should he take any opportunity to improve his profile?

Thanks!

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