Finding the bounty shoving treshold

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Finding the bounty shoving treshold

Poker Stars, $6.69 Buy-in (500/1,000 blinds, 150 ante) No Limit Hold'em Tournament, 9 Players
Poker Tools Powered By Holdem Manager - The Ultimate Poker Software Suite.

SB: 35,600 (35.6 bb)
BB: 94,710 (94.7 bb)
UTG+1: 11,520 (11.5 bb)

UTG+2: 21,298 (21.3 bb)
MP1: 51,099 (51.1 bb)
Hero (MP2): 36,419 (36.4 bb)

MP3: 61,116 (61.1 bb)
CO: 33,560 (33.6 bb)
BTN: 25,683 (25.7 bb)

Preflop: Hero is MP2 with A T

UTG+1 raises to 11,370 and is all-in, 2 folds, Hero raises to 36,269 and is all-in, 5 folds

Flop: (25,590) 6 8 K (2 players, 2 are all-in)
Turn: (25,590) J (2 players, 2 are all-in)
River: (25,590) 2 (2 players, 2 are all-in)

Results: 25,590 pot
Final Board: 6 8 K J 2
UTG+1 showed A T and won 12,795 (1,275 net)
Hero showed A T and won 12,795 (1,275 net)

Simple spot here

Villain is shoving around 11bb UTG and we are MP with ATo. Non-bounty, we overshove something reasonable like:

But, this was a BB7,5 and the villain had $11 bounty, still 500 people left in tourney so more like CHipEV+bounty situation. Now, villain is supposed to be shoving tighter (as he is being called wider) and I am supposed to reshove a bit looser (still not ATo tho)

So I try to test it and increase villains bounty to found when can I reshove ATo. With $20 bounty the ranges looks similar, except I am oveshoving a bit looser (ATo starting to become BE)

But now, what happens, when I give him $25 and then $30 bounty

and with $30 bounty

Now his shoving range is almost twice as wide vs the $11 bounty. So my question is, how do you find the treshold between "I am shoving tighter because I am being called looser" and "I am shoving looser, because I am being called by trash hands"?

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