We successfully turned a marginal preflop 3-bet into a full house, maximizing value on a board that heavily favored our aggressive line.
Checking is the preferred play with second pair. We need to protect our checking range on this wet texture while realizing our equity against BTN's condensed calling range.
Note: Betting second pair on this wet board is slightly over-aggressive; checking allows us to bluff-catch and keeps the pot manageable with a vulnerable hand.
After turning two pair, we must shift into value mode. The board is highly connected, and we need to charge draws like KcQc or Kd9d while we still have the best hand.
The river is a dream card, improving us to a full house. Shoving is the only play to extract maximum value from BTN's straights and two-pair hands like KcQc or KdJd.