Adding new overhead outlets in garage - conduit required?
The vent is under the roof and you said you have Sheetrock inside so that would make the location “dry” by code standards.
Can you run NMB exposed on a ceiling, actually you can if it is over 8’.
Code has no specific height some states allow over 7’. Most inspectors use the height protected by elevation of 8’ as a basis for the 8’.
I would suggest using metal clad type MC it is a little more expensive but exposed it is more common and most consider that first finished compared to nmb or Romex.
Believe me for resale metal clad or MC makes a difference. As someone that has been part of a team that flipped old houses this is one of the “upgrades” we commonly did in garages a 250’ roll 12-2 (3wire) is under 100$ You can get smaller coils but 250’ was usually the best price and a manageable spool (1000’ sucks because of the weight and size and is not much less per foot). The realtor we used said ~10k price increase compared to open wiring of cloth or nmb that is common in my area in the older homes. Note your home would Not be considered older and the nmb on the outside screams DIY and no permits. Conduit or metal clad if installed neat looks much more like a pro job.