This worked wonderfully, thank you!

My td script (Note: I've only done the fight one time, so I may not have caught all the edge cases):

change(#3) [self(#2).dead & !self(#3).active & enemy(Bolo).active]
if [self(#1).active]
ability(#1) [enemy(Yen).active & enemy.round=1]
ability(#2) [enemy(Yen).active & enemy.round=2]
change(#2) [enemy(Yen).active & enemy.round>=3 & self(#1).active & !self.aura(Rooted:248).exists]
ability(#3) [enemy(Li).active & enemy.round=2]
ability(#2) [enemy(Li).active & enemy.round=3]
change(#3) [enemy(Li).active & self(#1).active & enemy.round>=4 & !self(#3).dead]
ability(#1) [enemy(Li).active & enemy.round>=6]
endif
if [self(#2).active]
standby [self.aura(Stunned).duration>=1]
ability(#2) [enemy(Yen).active & enemy.round=4]
ability(#3) [enemy(Yen).active & enemy.round=5]
ability(#2) [enemy(Yen).active & enemy.round=6]
ability(#3) [enemy(Bolo).active & enemy.round=1]
ability(#2) [enemy(Bolo).active & enemy.round=2]
ability(#1) [enemy(Bolo).active & enemy.round>=3]
endif
if [self(#3).active]
standby [self.aura(Stunned).duration>=1]
ability(#1) [enemy(Bolo).active]
ability(#1) [enemy(Yen).active]
change(#1) [enemy(Li).active & !self(#1).dead & enemy.round=1]
ability(#1) [enemy(Li).active & enemy.round=5]
ability(#2) [enemy(Li).active & enemy.round=6]
ability(#1) [enemy(Li).active & enemy.round>=7]
endif

I used a Dragonbone Hatchling (P/P) instead of a Parrot without any issues.

Perfect! I had to use Imperial Eagle Chick, ( I have no 25 parrot) but it worked like a charm