It took me some time to figure out Alice in conqueror mode. So putting this out here in case someone needs help in the future.
She has two instant kill attacks -
- First one is an instant kill spell. It will hit you for your hp+1 damage, and you can't dodge it. But she will only use it if you attack her, so DON'T ATTACK HER.
- Second one is a special attack doing absurd amount of damage. It did 5500+ damage to me. But she uses it on turn 15 and then on turn 20. This can be dodged, so use the dodge skill to avoid this one.
So take the dodge skill, some healing skills and maybe agility support, to avoid some of her other attacks. If you survive till turn 21, she will leave the arena and you win.