i jam pre with ak here. note: i don't run huds, so this is all from personal experiences being in similar situations.
ak is ahead of hj's jamming range and likely ahead of btn's flatting range as well. we block aa, kk combinations in btn's range and could likely expect a 3bet from 99+ to isolate with the hj. not saying it's impossible for btn to flat with a big pair in this spot, just unlikely. if you are a really loose player that has a wide squeeze jam range, then they might flat with aqs+, 99+. so, i'd expect weaker ace hands like a10-ajs, aqo, a2s-a5s, suited broadways, middle pairs, etc type of hands in this spot. hands that can flat but not feel comfortable jamming to isolate, especially with a 38 bb stack behind them. if they have hand like a5s or 55, they might be able to find a fold facing a jam.
given that, i think ak is just too strong to fold. btn just doesn't have a hand here majority of the time and we're a likely a slight favorite vs both ranges. or, if we aren't, we aren't too far of an underdog. with 38 bbs and a chance to more than double up, i'm willing to take thin edges in this spot.