AKs should 4-bet pre, then mostly call flop and check turn; river call with top pair is fine given the price.
Flop K92r: we have top pair top kicker on a dry board with a strong range advantage. Solver prefers calling the small c-bet rather than raising, but a raise is still reasonable—our hand is strong and we can fold out some 9x and pocket pairs while extracting value from worse Kx and overcards.
Turn 7h: after we raise flop and BB calls, the pot is large and SPR is shallow; solver leans toward checking with top pair and letting BB bluff or value-bet. Checking keeps our range protected and avoids overplaying a strong but not invulnerable hand.
River 4d: BB’s shove is polarized and we’re getting about 2.3:1, needing ~30% equity. With top pair and no diamond, we’re often ahead of bluffs and some worse Kx, so calling is standard.