Theoretically, you can acquire Trap level III in just 1 fight:
- Skip the training.
- Kite yourself to a decent level (you need a LOT of mana).
- Get and learn Trap and Phantom.
- Get 5 Inquisitors.
- Start a fight and kill off all enemies save one.
- Trap and kill you own stacks.
- Resurrect your stacks, and phantom to get extra resurrecting capability.
You need a LOT of mana:
- To kill 100 stacks you'll need 100 traps, that's 500 mana,
- 5 enemy stacks and 5 Inquisitor stacks times 2 makes 15 kills, so you need 85 phantoms times 15 mana is 1.275 mana.
So there you have it: with only a measly 1.775 mana you can get to Trap level III in just one fight.