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I'll have a go but as with all my advice be aware I'm a noob playing 10nl
UTG raise from 16/14 short stack I'd say 77-AA, AJs+, AQ+, JTs+
Calls a 3bet OOP pre so I'd narrow his range to TT-AA, AQs+, AK+.
Flop check OOP against the aggressor doesn't narrow his range too much. Sets going for c/r, AK and AQ are all still very possible. JJ-KK would almost definitely check this flop too.
Turn bet is tricky, a tad over 1/2 pot could be made with any of his flop range after sensing you're afraid of the A but to me it almost screams for a call. As such I'd discount JJ-KK as there are too many A's in your range for him to completely discount the possibility you have one. I'd be most wary of AA, TT and AK though as I think these are most likely considering how the hand has been played so far. I'd discount AK a bit as I think he would be betting a bit bigger to make you pay for any draws.
River looks like he's filled up a boat to me or at the very least has AK so I'd be folding.
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