We had a really talented vfx artist that put lot of love into achieving a paralax effect by cutting the different plans on the card ! I put quite some efforts in the visuals of the card and its design, hope that answer your questions !
By the way your game was really good I enjoyed it a lot c:
Hey, in unity we made the cards like an UI asset, it's easier to create masks in this way, then you just need to create the space you want to render with masks and put the differents layer of illustrations with an offset Z positions