Party 2-4 Aces in BB

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River bet is good - key is you have the Ace of hearts, so no one can have the nuts.

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This is so practically irrelevant in this spot.

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If I get all the money in on this river, no one can rationally call me. Think about how the hand played out. Think about what hands villains can call a push on the river.

So yes, having A hearts is absolutely relevant for this bluff situation.