Well, I have just TRIED to update the vault, because it was bugged.
For example, when I calculate it back, with a lot of trouble by:
Starting from zero (empty vault)
Editing all the cards we lost
Editing all the cards we have left
We have started with at least 371 cards
The cards we would have left if so, I have placed into the vault.
When essence loses, the vault is right, I he wins we have to update again.
Well, If essence loses, we can quit, because we will have only 7 water cards left, meaning we can never make a legal deck.