Open AKo, 4-bet vs the 3-bet, call the flop, check the turn, and call the river with top pair/top kicker.
Flop Ks9d2c, no flush possible, and we’ve got top pair/top kicker on a very dry board. BB leads 10.5bb into 34bb; with this strong but not invincible hand, calling is the main line, and the 31.5bb raise we chose is a reasonable mix that leans on BB’s weaker Kx and draws.
Turn 7h doesn’t change much—still no flush possible, and our top pair/top kicker is still strong but not a nut. With SPR ~0.5 and BB checking, we can either bet for value/protection or check back and keep the pot under control; checking back is a solid, low-variance option here.
River 4d, still no flush possible, and our top pair/top kicker is still ahead of a lot of 9x/2x/air but behind KK+/AK/sets. BB bets 48bb into 145bb, so we’re getting about 3:1 and need ~25% equity; top pair/top kicker has that, so calling is the right decision.