Bottom of the card is 0,6 mm heigh, font/logo is stacked ontop with 0,2 mm

if you print at 0,2 mm layer height, pause and swap filament before layer 4 - also you can iron the top surface so the text and logo looks nicer

if you want to add your own gift code, just use the text tool of Prusa Slicer, Orca Slicer or Bambu Studio

Legal info:

obviously those logos are trademarked by their respective owners but do not reach a certain threshold of originality, so the file i've used were taken from Wikimedia Commons - those cards are intended to be used personally, when you buy a gift code and want to gift it to someone in a nicer package