Very helpful AAdvantage agent said that I was the second person to call about this problem on her shift today. She started a ticket, took some information about the Barclaycard account, and advised that they would have to go back to Barclaycard and request that the bonus EQD be re-sent. She suggested that a resolution should come within 7-10 business days.

I separately reached out to Barclaycard, who did not appear to understand the question and merely copy-pasted the terms of the EQD offer as given in the card application.