How to Complete Now That's a Fire!
The objective is to defeat all foes. The law forbids restoring MP.
The Bombs are weak to Ice, so use spells like Blizzard on them. Be warned that when the Bombs reach HP Critical, they cast Quicken on themselves, which allows them to go next. They also have a tendency to use Self-Destruct when they are HP Critical, which is good because it gets rid of them, but it's also bad because it causes a lot of damage to any surrounding units.
Similarly, when the Floating Eyes have HP Critical, they can use the Death Dive attack.