I straddle to $20. Villain raises utg+1 to $60. He has $3k back. BB calls ($500 back). I look down at AA. Villain and I have some history and are both laggy and are capable of anything. I make it $300. When oop-I like to raise 4x plus other money in the pot to make up for my positional disadvantage. Anyways, villain calls. BB folds. $675 in the pot. Flop Kd5h4h. I bet $350 ($300 better bet imo but sized it a little up). He makes it $950 total. What do you do here?

do you have the Ah? I'd probably shove since there's not too much left. You could also call and c/c the turn if you think he's bluffing here a lot. I don't think its that interesting of a spot because the stacks are so short once he raises here. You're obviously not folding.

I maybe would have sized pre so that a possible BB shove reopens the betting (depending on house rules). As played, shove.

do whatever, except fold.

I'm probably just shoving.

I assume 3K is effective stack. OP didn't specify his stack size. If so, find ways to get all the money in. Would be nice to have the Ah in your hand, but not necessary. I'm with the rest, never folding.

Isn't it much better for us if we don't have the Ah since it gives him more combos of flush draws?

Not really since the nfd is so strong anyway. I'd think we're stronger with the Ah because it makes it more likely he's bluffing or raising worse for value. Holding the Ah also takes a good chunk of equity from other flush draws he could have.

It's better to have nut backdoor draws than being able to assign V more combos of flush draws. Plus, he's more likely to fold to Hero's shove if he did have a bare non-NFD, and that's always a good thing for us.

The nut backdoor only gives us what, 5% extra equity? And it adds a bunch of combos of hands he'd raise with... but then again, he's a lot less likely to call with some random Ax suited hand.

Anyways, I think a c-c line works best against a laggy opponent "capable of anything".

And + 1 to the original pf raise size - I'd make it smaller so that I should reraise on the BB's shove.

equity wise, its much better to not have the Ah in our hand

Assuming he plays all FD or high FD similarly, we want the Ah in our hand, obv. If we are looking for ways to induce an all-in situation, which the villain is obliging us to do with his raise, there's no doubt we want the Ah in our hand, although obv we don't require it.

i need to play with stove more but i think what i wrote^^ might be wrong.

yeah tbh I am really confident that we don't want the Ah in our hand. I mean the difference between 70/30 and 66/33 is moot in anything but the longest of terms (which we are never going to reach in live poker anyway) but the number of combos that are calling us which we beat (which is what we need for shipping to be profitable in the "we are not bluffing" here) is much higher without the Ah.

Basically if we have the Ah he has more value/air and which makes calling more correct (not more correct in relation to shipping but more correct in relation to how correct calling would be without Ah). If we don't have the Ah he has more draws in his range which we have dominated and are stacking off anyway.

Obviously we don't want the Ah in our hand. With the Ace of hearts in hand I actually think this is pretty close, although I probably won't end up folding. You say he's capable of anything but do you rly think he'll be bluffing in this spot much at all? Seems pretty suicidal, and I don't rly see him value raising worse unless he's spewy enough to raise AK (I guess with sufficient history this would be okay but I think it's almost always better to call). I mean you rly shouldn't be all that wide 3betting an EP raise from the straddle anyway... Wouldn't be surprised if this was a fold although I admit it'd be tough to make in-game.

EDIT: Eh never mind just saw that the King was a diamond, just get it in.

Our hand is incredibly strong here. It's a 3-bet straddle pot with less than 4x the pot left in the stacks on the flop. Holding the Ah or not doesn't really change our equity vs his range so much as it changes the character of his range. If we had the Ah I'd expect him to be just clowning here a lot or having AK or something. Without I'd assume he has the nfd a lot and that his bluff frequency (as a percentage of his range) is lower. So I'd call down with the Ah and push without it. Our equity vs his range in both cases is super high (> than 60%, IMO), and its nowhere near a fold.