Note the stack sizes of those left to act. The cutoff at 24 BB has a jam over stack that could jam if you call or if you 3 bet and the button is so small that they will be getting all in a lot here (not that it scares us at 7BB but we have to be aware of it). Unless you are prepared to call a 24 BB jam from the cutoff I think I would be in favor of calling behind here and then folding to a raise instead of 3 betting and then having to fold to a jam.
Villain bets very small on the flop (about 25% pot) with two spades on the board. To me in this spot they are either not worried about spades (they have two of them) or they have very little in terms of strength and it is just a probe bet to possibly get folds. Ax with no spades should not be playing such a small bet. I would tend to raise here to protect my equity and also to take control of the hand. I would do a small raise to 750ish which hopefully would get the Blind out of the hand and would establish control. I know with that small of a raise the initial better is calling but I am fine with that as we have the pair and if he has spades he isnt going anywhere anyway.
As played the turn card is probably a call but I think you can throw in here a smallish raise too just to get villain to slowdown. If they re raise the raise here it is an easy fold and if they just call the raise they will most likely check to you on the river and you can always check it back to get to a relatively cheap showdown vs what would have been a river bet. Not saying that is necessarily what I would do but it is a tool you can use to get to showdown easier.
I do believe the river is a fold as you mentioned as they are triple barreling into at that point two people. It could be a busted draw and there would be some hands villain would do this with that you beat but overall I think it is a fold.
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