Re: analysis and results - call was the right answer
Your sums are a bit off - I get him having to push with top 20% to make this a call. Yes you "only" need to win 36.4% of the time, but you can't put him on specific cards.
PS, I put it as you in the SB first time, so my sums were off. At 20% it's not quite so bad I suppose, but still that's fairly loose. If he's pushing AK here he's also pushing JJ etc so you were correct to fold considering his range.
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