Umm ..you can't have magnetic repulsion because sphere will automatically orient attractive under gravity .. unless you hold them tight .. which is not clarified !
According to o3 it would last 10 minutes before it flipped
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Wow .. so you did consider the options .. then why can't O3 perform simple mathematics?
its a language model not a calculator. Its the same reason why humans have harder times doing math in our heads. It’s better to just ask it to execute code when doing math.