I could be mistaken but I'm pretty sure that the rule is that you have 120 pitches. If you face a batter with 119, you may finish the hitter.
It's the IHSAA's fault for putting coaches in this situation to exploit this rule.
If I'm a coach, I go to my senior pitcher and say, "Here's the deal. We're gonna win this game with you on the bump, but you'll be suspended in the next round of the tournament. You in?"
It's truly sad that the tournament is drastically influenced by these pitch count rules.
Enforce them in the regular season, let the best team win in the tournament.
Plenty of older guys I knew threw 140 some pitches in a tournament run, went on to play college baseball, grew up to be great employees, husbands, fathers, coaches, etc and wouldn't change it for the world.