I dont play many 6 man STTs, but from my full ring background this is a standard fold preflop. There are not many flops that help you out here and you may be dominated with flops that hit. Chip preservation is the order of the day in STTs.
Given this is a 6 max STT, then squeezing here may be the superior play but calling and playing the hand OOP is my last option here.
As played, I dont like the call on the flop, your overs may not be outs so you are not really getting the odds here, but then again I hate playing any drawing hand in STTs as the implied odds rarely make it profitable. I think I go fold > CRAI > call here.
As played on the flop the call on the turn is fine as its only 120 into a 1080 pot and given that bet size, K hi might be good now.
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Your line in the hand would have been fine on all streets if this was a deeper stacked MTT, but I think the overall mistake is that you are trying to play poker here when this is not poker, but an STT (just play top 5% early levels then push bot at later levels)