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Any recs with the "we're cold so we have to cuddle for warmth" troupe?
https://www.mangago.zone/tag/Forced+proximity/
The trope is called "forced proximity" and generally has stories where the couple shares a room. What you described is kinda specific so I don't exactly remember any story like that but these will kinda give the same feels.
imma need a side story with me x the doctor thank you