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No one likes freezing to death in an extreme arctic before those Braziers/Fireplaces ignite, so why not make tea simply a consumable that refills your temperature gauge a certain amount.
Even better, add in varieties of tea, which upon drinking bestow your character with various boosts, like a temporary boost to mining speed or movement speed, or a resistance to damage.
This could be created using the science skill and the chemistry set items at some kind of workstation in order to combine ordinary tea with flowers and other organic matter to imbue it with various properties.