There's no point of getting that precise with calculations if they're based on an estimation, the error in your initial assumptions will just carry through.

I don't agree with the opening range you gave him preflop. The whole basis for the analysis in this thread (checking turn and letting him turn his hand face up) was villain's nitty tendencies. No true 11/6 player is opening that wide from MP2. Stacks gave him a good opening range, 88+, AQo+. His continuing range to a 3-bet is probably more like QQ+, and AK will likely be push or fold based on his image of us. He may also call with jacks some percentage of the time. After flop hero's OP with AK which when combined with villain's continuing range should he call hero's 3-bet, probably means hero is folding often post flop or winning a small pot. 3-betting then becomes mainly a bluff, making 70% FE the break even point. I think there's more value to be had by flatting and playing villain's wider range.