After rivering a flush on a paired board, we should check and let worse hands bluff rather than jamming and scaring them off.
Flop A73 rainbow, BB checks. Solver leans heavily toward checking here with QJcc, but a small c-bet is a viable mixed strategy. We have a backdoor flush draw and some overcard potential, and a small stab pressures BB’s capped range without committing too much.
Turn Ts pairs the board and gives us QJcc with a gutshot and a flush draw. Solver likes a big polarized bet here; our 16.3BB into 8.3BB is close to the recommended overbet size. This sizing applies pressure to BB’s one-pair and draw-heavy holdings and sets up a strong river decision.
River Tc pairs the board again and completes our flush. After BB calls flop and turn, their range is somewhat capped and we block many natural bluff candidates. Solver strongly prefers checking here with this combo, letting worse flushes and full houses value-bet into us rather than jamming and scaring them off.
Note: Shoving the river with a flush on a paired board is too ambitious; we block many natural bluffs and should check to induce value from worse flushes and full houses.