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well even though you STILL haven't posted reads for villain, i'm going to proceed to tell you why you're wrong.
first off, unless you have notes on villain's 3b'ing style, your preflop range isn't always correct. in fact, i'd go as far as saying it usually is incorrect. for example, if I'M the BB in this hand, and i have reads on you that you're positionally aware and that you're folding to a lot of 3b's, my range is more likely to be {QQ+, AK} for value: {AJ, KJ+} as a bluff and i'd flip a coin with suited connecters and maybe flip two coins with Axs. in other words, i'm flatting half of the range you put him on unless i have any reason (or any history with you, which you provided no info on villain so i can only assume neither of these conditions apply) to believe that you'd call a 3b w 99-TT and AJ-KQ and stuff like that.
second off, you're at best only half right about villain's leading out range. there are two reasons why villain may lead out with his A range here: 1) he's a bot, and he held KK PF so he 3b it, now he flopped the nizzles, so of course he's going to bet/bet/bet and 2) he's a decent thinking player, and he realizes that he's leading this flop out with 100% of his range (nuts, mediocre hands and air all the same) because it's a K-high dry flop; if you have shown any sign of aggression then he may bet flop, c/shove turn assuming that you're floating dry A-high and K-high flops in 3b pots (yeah, i know, his bet sizing makes me wanna vomit if this is what he's doing, but even 25nlers who ARE capable of putting villains and themselves on ranges and have some basic understanding of the modern dynamics of poker are also incapable of having foresight in their bet-sizing....i know that that was me when I was at 25nl)
third off, you're just flat out wrong about his calling range. again, barring reads which you didn't supply, your jaw should've bounced off the carpet when he flipped JJ. yeah, you tanked, blah blah blah blah blah, it doesn't matter. he has NOOOOOOO reason to believe that you like EVER have worse than a K here seeing as how there are like NO draws and shoving anything worse than AK here would be retarded of you to do 
for this reason, if there's any part of your range we're gonna raise here, it's probably going to be like a CiB with our C-range or something (though, i can't really imagine me actually doing this with any likely part of my range against an unknown)
i generally call flop, fold turn, eval river here feeling confident that there are very few 25nlers who are going to exploit this by double barreling their air.
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