The EV when we bet 0.83 is 0.20455 PSB and the EV of betting pot is 0.20000 PSB. Since when we bluff with a balanced range we have essentially won whats in the pot this would mean that increasing our size from 83% to 100% of pot gains us 0.0233 pot sized bets. If we bet pot we can be bluffing 33.3% of the time, meaning 25 bluff combos and 50 value combos, adding 2.33 more bluffs to our range. Lets assume we can value bet 50 out of 100 combos here, the 83% bet size means we can be bluffing 31.2% of the time, that would be 22.67 bluff combos and 50 value combos. However I believe this only to be correct in a vacuum, there is added value for your range in betting larger that we can actually quantify. In 18 years I've never solved for this, I actually paused and came up with 0.83 through trial and error. One of my favorite sections is the one on pinpointing optimal river bet size.
I'm really enjoying your book as mathematician and a poker player with 18 years experience.
