Nutrition Facts Labeling - Inside Film

Hello! Bit of an oddball question that either I can't seem to get my search words right for, or it really is something that doesn't come up often/ever. Hypothetically - If someone produced a baked good that was going to be on top of a white cardstock board and machine film-wrapped with clear film - do the nutrition labeling standards require the information to be printed into the film itself/label applied to the film? OR Alternately (the weird question) could the white cardstock that the baked good sits on in the package be printed with the nutrition information that faces down/back (presuming visibility/legibility through the clear film)? Tl:dr - could nutrition information be printed on white cardstock and face outward from inside a clear film package instead of the labeling being preprinted in the film or applied as a label on exterior of film? Thanks!

Cardstock can be printed facing outwards but under film.