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If you're going to 4b bluff at all, do it with hands that have blockers like Axs (as rpm already said).
By this token, AK is the best 4b-bluff hand there is as it blocks AA and KK a lot (cuts the AA and KK combos out there from 12 to 6) and you can get folds from a lot of PP's and possibly from AK as well.
It'd be a mistake to consider AK as only a value 4b hand imo. Actually it only is a value 4b against a villain who would continue with AQ or worse. In the ranges that you gave to villain, if you were holding AK, there would be only 3 combos of AQs which would continue while you get folds from 6 combos of TT...
Since there are a lot of combos of AK compared to the number of combos in your 4b value range, I would think that having only AK in your 4b bluffing range would probably not be a mistake against reasonable villains. Of course you have to adjust this against opps who 3b bluff a lot.
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