There’s a reason this is on most of the recently renovated room beverage coolers.
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On quick Internet search the US Dairy Association recommends 40 and below for things like milk and yogurt. That’s personally fine with me and I don’t tend to think twice about it even with yogurt, but it’s not usually super cold. You do see some variability based on the exact location of the cooler, ventilation in the cabinet, and what else is in the cooler, in my experience. YMMV.