Follow up: I sent an email requesting a follow up on the missing (or yet to be printed) card and this triggered an escalation of my case. A day or two after that, I received an email with the following note:

"A new card has been ordered to your address on file. It may arrive in as little as 8-10 business days but can take up to 6-8 weeks to receive the card. The card will arrive in a white envelope and cannot be forwarded."

Fingers crossed.