I seem to recall that with the similar issue with EY , that I have read that there has been successgetting AA to reissue ticket and getting baggage allowance to show

I think that contacting QR ticketing and customer service would lead to both referring back to the issuing carrier.

Other then knowing to check bookings are ok at time of ticketing so as to have no time constraints , not sure what can be done - the OP seemed to have a decent amount of time, so might have in position ( if there is such as service at the airport ) to send using a shipping company

The OP was fortunate in having other miles to use and there benng availability on other carriers

Would be good if AA was to fix the root cause