While AQo is a strong preflop hand, it remains just Ace-high on this board; raising the river and calling a 3-bet is a massive overplay.
Betting small is the preferred strategy here to leverage our range advantage on a paired board that favors the preflop aggressor.
Note: Checking back misses a high-frequency C-bet opportunity; a small sizing (33% pot) forces BB to defend many weak hands while we realize equity.
After checking the flop, we should almost always stab the turn when checked to again. We have the best Ace-high and plenty of equity against BB's range.
Note: Checking back twice allows BB to realize equity for free with hands like JT or small pairs that might have folded to a bet.
Facing a tiny lead, raising is a significant error. Our hand has zero value when called and we don't block the few straights (67s) that BB might have.
Note: Raising Ace-high for value or as a bluff here is unnecessary; calling is the standard GTO play to catch bluffs given the excellent pot odds.
Once BB 3-bets the river, our hand is a pure fold. We lose to every single value hand and BB is rarely, if ever, bluffing over a river raise in this line. **Ranges:** BB's 3-bet range is extremely narrow, consisting of Kx, full houses, or the occasional 76s straight. We lose to all of it. **Math:** We need ~28% equity to call, but against a river 3-bet after we showed aggression, our Ace-high has near 0% equity. **Blockers:** We don't block any of the value hands BB is representing, and by holding the Ah, we actually block some of the heart-based bluffs BB could have had. --- > **Takeaway:** When you raise the river as a bluff and get re-raised, your hand is almost always dead—just let it go.
Note: Calling a river 3-bet with only Ace-high is a massive punt; BB is never value-owning themselves here and rarely bluffs.