With Aces on a low paired board and a shallow SPR, we must get the stacks in immediately against Villain's aggressive range.
Flop Analysis
A small bet is ideal here. We hold a massive range advantage on this paired texture, and a 1/3 pot sizing forces Villain's overcards and small pairs into a tough spot.
**Board:** Paired boards are relatively static, meaning the best hand on the flop usually stays the best hand on the turn. This allows us to bet a high frequency of our range for a small size.
**Ranges:** We hold a significant equity advantage (59%) because our 3-betting range contains all the overpairs (AA-TT) that the Button's calling range lacks.
---
> **Takeaway:** On paired boards in 3-bet pots, use small sizings to maintain range pressure and keep Villain's wide air range in.
Flop Analysis
Facing the raise, we have a mandatory shove. At this SPR, we are never folding an overpair, and shoving denies equity to draws while getting called by worse pairs.
**Math:** With an SPR of 1.4, we are effectively committed. We have ~74% equity against a range that includes JJ-77, 6x, and straight draws like 87s or 43s.
**Ranges:** Villain's raise is polarized between 5x/66 and bluffs or protection raises (77-99, 87s). AA is simply too high in our range to do anything but jam.
**Plan:** By shoving now, we realize our equity fully and prevent difficult turn cards (like a 7, 8, or 4) from killing the action or making our hand difficult to play.
---
> **Takeaway:** When the SPR is low and you hold a top-tier overpair, don't overthink it—get the stacks in to maximize value and protection.