can i get a card if I add an authorize user on my Goldman Sachs Mastercard?
No
Question marked as
First: Set up Apple Card Family and add a co-owner and participants - Apple Support
Co-owners can order their own card; Participants over 18 can order their own card; Owners and co-owners can order a card for a Participant under 18.
To request the card, see: Request and activate a titanium Apple Card - Apple Support