Shingi had prepared special cloaks for the party. He made them, with the help of Little Phoenix, deal with the heat of the desert.
They used some mana dust embedded with Ice Man from Mizuneko and made some special Enchantment design on those cloaks that would produce some cool air to keep the user's temperature at an acceptable level.
The user would use their Mana or Mana Gems to power up the cloak, but it wasn't using too much mana, and some of their mana gems were recharging slightly faster in the Tower than outside of it. But it depended on the theme of the floor.
For example, in the forest areas, the Earth and Air were faster to recharge, and Light was slightly quicker at the day circle and Dark Mana Gems during the night circle. But the recharge rate boost at neither of those was over five percent.