How to hide nails poking through hen house ceiling

[FluffyMama]

I’m building a chicken coop and we’re shingling the plywood roof. The nails are protruding into the ceiling by 1/2” and I hate the look of it. I’m considering putting foam board and covering that w thin plywood sheathing. Do I need to worry about moisture buildup on the foam board and consequent mould/wood rotting? The building will be well ventilated. I live in North Eastern US. Thank you in advance.

 

[nuthatched]

I'd get some shorter screws, personally