Re: Free showdown
I don't like your play on the flop and turn.
Flop: this is raise or fold. I think fold is pretty weak when you don't really have too much reason to believe he has an A. Raise to find out where you are and if BB isn't an idiot and you have no reason to believe he'll 3bet with a flush draw, you can let the hand go if he 3bets.
Turn: No, this is not a good spot for raising for a free showdown. The idea of the free showdown is that you think there's a good enough chance you're ahead that you're willing to pay 2 more bets to see the showdown, but you also have a significant amount of outs if you're not good and you'd like to put in 3 total bets on the Turn and River if you hit the draw on the river.
Here, if you're behind, you have only 2 outs. So, most of the time putting in 2 bets on the turn is equivalent to putting in 1 on the turn and 1 on the river. Raising has an almost negligible advantage, but a definite disadvantage that he could 3bet you on the turn.
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