overcool
verb
over·cool
ˌō-vər-ˈkül
overcooled; overcooling
: to cool excessively : to lose or to cause (something or someone) to lose too much heat or warmth
… has a dehumidifying cycle that's supposed to dry out a humid room without overcooling it.—Consumer Reports
Conventional greenhouse additions overheat, overcool and tend to frost up when it's cold and windy.—The Globe and Mail (Canada)
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Merriam-Webster unabridged
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