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$10 makes turn SPR weird.

$50 pot with like $80 behind.

$20 makes it $70 pot with $70 behind.

Yah I don't hate the plan to bet flop, jam turn. He'll definitely peel flop with TT-QQ and a heart, and likely most QQ either way.

Any AK is not finding a fold.

Yah I agree with your logic of wanting to get value from his pair+heart type hands etc.

Given that, if I'm going to go two streets I think I prefer to go bet/bet/check, as opposed to checking...