Kind of the 'standard action' for a CG at the 12th fret is 3mm/4mm. Probably even more variables in play here, but what would typical height measurements be at the first fret?
2014 Ashley Sanders Spruce/Ash Burl
1984 Jesus Marzal cedar CG
1971 Sherry-Brener (Cedar) Garcia No. 1 CG
1975 Gibson ES-175D Achtop Electric
2016 Eastman AR905CE-BD Carved Archtop Electric