Preflop and flop are fine; the big mistake is barreling turn with a pure check hand instead of taking our equity and giving up when we miss.
Flop Analysis
Stabbing small as a bluff with king‑high is fine: our hand sits at the bottom of our range and this texture is good for a small, polarized c‑bet mix IP.
**Ranges:** Both players have strong Qx and overpairs, so neither side has a big equity edge; we’re polar when we bet (strong Qx / sets / strong draws plus air like K9s), while SB continues with Qx, overpairs, and some draws.
**Board:** The connected, two‑tone texture is dynamic, so we don’t want to range‑bet; betting our very weakest hands and checking more medium strength keeps our strategy balanced.
**Sizing:** The one‑third pot size matches the solver’s preferred sizing for our bluffs here — it pressures unpaired overcards and underpairs without bloating the pot when called.
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> **Takeaway:** On dynamic Q‑high 3‑bet pots, use small bets with your air and keep medium hands in your checking range.
Turn Analysis
Turn is a clear check with our open‑ender; betting, especially for a large size, burns equity because we’re up against a value‑heavy, uncapped range and don’t have fold equity to compensate.
**Ranges:** After SB check‑call flop, they’re heavy on Qx, overpairs, and strong draws like nut flush draws and J9, while our range has more strong draws and some nutted hands; K9 specifically is still just high card plus draw and sits at the very bottom of our continuing range.
**Board:** The 6 improves a lot of SB’s check‑call hands (J9 picks up a straight, T9/JT gain strong equity, many pairs + draws), so this card is much better for SB’s continuing range than for our bluffing region.
**Math:** SPR is ~2.4 and we bet about two‑thirds pot; that size needs substantial fold equity, but versus a strong, condensed turn range we mostly get called by better and rarely fold out Qx/overpairs.
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> **Takeaway:** When a turn card strengthens villain’s check‑call range and you pick up a draw, favor checking to realize equity rather than forcing a big, low‑fold‑equity bluff.
Note: Turn should be a pure check with K9 — the large barrel into a value‑dense range is a clear spew and wastes the equity of our open‑ended straight draw.