We must balance aggression with pot control on wet boards, especially when the turn completes flushes and straights.
Betting is preferred on this broadway-heavy board. While we have top pair, the board is extremely wet, and we need to extract value from draws and weaker pairs.
Note: Sizing up to 131% pot is excessive here; a smaller sizing (33-67%) better targets Villain's wide range of Jx, Tx, and straight draws.
Checking back is the primary strategy here. The 3s completes the flush and many straights (AK, K9, 98) are already possible, making our top pair a vulnerable bluff-catcher.
Note: Betting into a range that now contains many flushes and straights is risky; checking back realizes our equity and controls the pot.
Once we bet and face a check-raise, our hand is technically a fold. However, the As is a critical blocker to the nut flush, and we have significant redraw equity.
The river Qs is an incredible card for us, giving us the nut flush and trips. After Villain checks, we have a mandatory value shove to maximize extraction.