Re: 77 line check
I am not folding the flop
Looking at a call you get 11:1. Likely 12:1 here as the most likely action by the button is to overcall. Of course he will raise behind you but then you can call or fold if BB 3-balls and save a turn Big Bet compared to how the hand played out.
Anyhoo with 11:1 and prolly a little bit better you can continue here. Its huge you have the 7 of diamonds. This means that not only do you have a bdfd but when you hit a set you wont improve to the 2nd best behind a flush.
I'd say you have about 3 outs on average when behind on the flop and occasionally you have the best hand.
Folding here should not be an option IMO
Now just throwing it out there. Since BB is nit straightforward and since AK is in his range I would consider raising the flop for protection/info. The good thing here is that BB will play his hand face up telling you exactly if he has QQ, KK, AA or AK.
All in all I think you played it fine. Folding the river is good. He isnt betting AK very often IMO.
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