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Convection is orders of magnitude more efficient than other forms of heat transfer, though, so even if you can only generate a little exchange, that'll offset a decent amount of AC.
Maybe we're quibbling about what "blowing out" the heat means, but I maintain that this can be a worthwhile thing to do.
AI disagrees with you but there is a heated debate on physics stack exchange about it that doesn't seem to reach consensus other than to never open your windows when it is warmer outside than inside which is likely the case most of the time in the summer when you would be running your AC.
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Full disclosure, I really struggled in my thermodynamics class and still think magic is the simplest explanation for refrigeration.
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