Flop Analysis
Flop comes Qh 9d 3s, and we’re in a 3-way pot with ~151.5BB in the middle and ~200BB behind, so SPR is only about 1.3. Multiway plus a dry, high-card board is exactly the kind of spot where stacks naturally go in with an overpair: ranges are already condensed by the very large preflop action, and there aren’t many bad turn cards—only straight draws like JT/T8 improve a lot. Checking here is fine as a trap in a 3-way pot; we allow the others to stab their Qx, underpairs, and bluffs. Once LJ fires a huge 150BB bet into 151.5BB and UTG calls, the pot is effectively committed and our KK plays as a pure stack-off: we’re behind sets and maybe QQ, but ahead of AQ/KQ/QJ, some TT–JJ, and bluff/semi-bluff hands with straight draws. Shoving over this action (which is effectively what raising to 200BB does at this SPR) is the clean, high-EV decision—anything other than commit-or-fold with this hand at 1.3 SPR would be a major leak, and folding would be far too tight.