While we have a range advantage on this King-high board, we must be willing to bluff-catch with our best Ace-high hands when facing a raise.
Flop Analysis
Our hand is a strong candidate for a continuation bet. We hold the nut blocker (Ac) and have significant equity against the Button's calling range on this dry texture.
**Ranges:** We have a slight equity advantage (54%) because our 3-bet range contains more AA, KK, and AK than the Button's calling range. Button's range is condensed around hands like 88-QQ and suited broadways.
**Sizing:** A medium sizing (50% pot) is preferred here to put pressure on the Button's middle pocket pairs and under-pairs while keeping their bluffs in. Our hand functions as a high-equity semi-bluff that can improve to the best hand on many turns.
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> **Takeaway:** On dry King-high boards as the 3-bettor, use a medium sizing to leverage your range advantage with your best Ace-high hands.
Flop Analysis
Folding here is a significant over-fold. AQo is one of our best bluff-catchers; we beat all of Villain's air and have 35% equity against their overall raising range.
**Math:** We need 28.7% equity to call based on the pot odds. With 35.4% equity, this is a clear continue, especially since Villain can be raising with gutshots like 54s or total air to exploit our perceived range-capping.
**Blockers:** Holding the Qd is beneficial as it doesn't block Villain's potential bluffs like JTs or QTs in spades or hearts. By folding, we allow Villain to profitably raise any two cards against our c-bet.
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> **Takeaway:** Don't abandon the pot with your strongest Ace-high hands when the price to call is good and Villain has plenty of natural bluffs.
Note: Folding AQo here is too tight; it's a top-tier bluff-catcher that comfortably meets the required equity against a standard Button raising range.