He's not floating for 6 outs, he's floating because he has AK high, and if villain cbets this board he will 90% of the time be barreling this board.
In HU 3betting ranges are totally different... people are not 3betting small PPs as much, but they are 3betting hands like AJ, AT, KQ, KJ, KTs, QJ, QTs etc. for value.
The reason for kingsofcards is exactly this, he knows PA would never fold any pair, but A high is a big part of his range and he's hoping to make them fold on this board (and he has Q + spades as outs).
Turn already gives the board another flushdraw, which kingofcards could also be barreling.
I'm not saying that this is a standard calldown, but 2-3 street calls even in 3bet pots with A high are not that rare in HU.
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and IMO opponent should shove river anyway. Pot is already bigger than his remaining stack. and he knows he will lose over 60k when checking. even against k high...
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I don't think PA would ever call 2 streets with a pair and fold on the river... and kingofcards has two spades himself so FD is unlikely. What exactly is he trying to fold out by shoving the river?