How to Unlock Tower of Babil: To Of

Arrive at Magitek Servicing: At the dungeon's start, defeat a pack of five enemies on a train carriage. They can use an AoE that covers most of the floor; try to Stun/Interrupt it. Another group of five will attack after the first is defeated. The Babil Satellite will use Incendiary Circle, a donut-shaped AoE, so stay close to avoid it. After a short run, you'll encounter one more group of enemies at the bottom of the stairs and another at the top. You can pull these together, but use defensive cooldowns and focused healing.

Clear Magitek Servicing: Defeat Barnabas to continue. You will receive a Treasure Coffer upon his defeat.

Arrive at Martial Conditioning: Proceed to Magitek Lift A. After using the Control Terminal, defeat three separate waves of enemies before reaching the top. Upon exiting the lift, find a Treasure Coffer. Continue west at the crossroads to find another pack of enemies. Another Treasure Coffer awaits at the end of this western path.

Clear Martial Conditioning: Defeat Lugae to continue. You will receive a Treasure Coffer upon his defeat.

Arrive at the Iron Womb: Go west at the first intersection and proceed to the next area. You will find another Treasure Coffer after leaving the Lift, followed by two packs of enemies before reaching a wall. Fight these enemies on the path rather than a circular platform to avoid constant AoEs. Ignore the next Treasure Coffer for now and pull the first pack of enemies to the second one; this is the toughest pull of the dungeon, so be prepared. Once defeated, you can return and claim the Treasure Coffer.

Defeat Anima: Defeat Anima in the final boss battle. The dungeon is complete after your victory. You will receive another Treasure Coffer before the exit.