Deep and in position, top pair with strong kicker is a high-EV call pre and flop, with a mix of bet and check on the turn; river shove is a standard call.
Flop K92r, SPR ~2.6: we flop top pair with a strong kicker on a relatively dry board. BB leads small, and our hand is too strong to just call—raising for value and to start building a pot versus worse Kx and 9x is preferred. The solver snapshot prefers calling, but that’s heads-up; multiway, the raise is even more attractive.
Turn 7h: after we raise flop and BB calls, the pot is already big and SPR is under 1. On this card, our range is still ahead overall, and betting around half-pot or a bit larger works well to extract value from 9x and weaker Kx while also setting up stacks for the river. Checking is okay as part of a mixed strategy, but it slightly under-realizes our equity.
Note: Turn check is defensible as part of a mix, but a half-pot or slightly larger bet captures more value from 9x and weaker Kx and sets up stacks for the river.
River 4d: BB now shoves 59bb into ~136bb. We’re getting about 2.3:1 and need roughly 30% equity; AKo has plenty versus a range that includes bluffs, 9x, and some worse Kx. Solver likes calling here, and jamming is also reasonable, but calling is the simpler, higher-EV line.