When you flop a set as the preflop aggressor, prioritize betting to build the pot and extract value from top pairs and draws.
Flop Analysis
Checking back a set on this dry Ace-high board is a significant value loss. We should be betting small to get called by HJ's wide range of Ax and pocket pairs.
Note: Checking back the bottom set misses a mandatory value bet on a board where Villain has many hands that will call a small sizing.
Turn Analysis
After checking the flop, we must bet the turn for value. While the 6d brings some straight and flush draw possibilities, our hand remains extremely strong against HJ's condensed range.
**Ranges:** Villain's range is capped after calling a 3-bet and checking twice, consisting mostly of hands like JJ-99 or weak Ax. We have a massive range advantage with all the sets and top-tier Ax.
**Sizing:** The solver prefers a massive overbet (125% pot) to polarize our range and maximize value from Villain's bluff-catchers like AQo or pocket pairs. Our choice of 75% pot is acceptable but misses the maximum leverage.
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> **Takeaway:** When Villain shows weakness by checking twice, use large sizings with your nutted hands to make up for missed value on earlier streets.