How to solve the Arboria Castle puzzle in Crimson Desert

The Arboria Castle puzzle in Crimson Desert is all about repairing an elixir factory for House Celeste, and it's perhaps one of the most elaborate I've come across in the game. It's not that it's necessarily super complicated, but it has a lot of stages, and it's quite easy to go wrong. It's even more of a mystery if you just wandered in there, since you can complete the puzzle, but without the prerequisite quest, there's no reward.

Instead, "Restarting the Elixir Factory" is a quest you'll...