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What would he do if you pushed? Obviously call, so he is willing to risk the rest of his stack to win a 99$ bet when he could just check behind, without a read that he is a complete moron this is an easy fold.
i can't think of a single hand that would check/shove this river instead of just valuebetting it as played, exactly because like everyone said villain should check behind AQ here
so no i don't think villain is scared of a c/r, and i think this is a fairly easy call
also, coldcalling AA in the blinds (maybe in the SB with a very nitty or very fishy BB behind, maybe in the BB closing the action) is different from coldcalling it OTB ... we should at least discount the amount of combos of AA he can show up with imho, same goes for QQ
and we need like what? 40% equity? you need to be able to discount AQ A LOT to fold here and i don't think you can do that (especially given that we also have to discount sets somewhat because they want to get it AI by the river => they bet turn bigger)