Having looked back carefully I cannot see one of those, either for the original booking or the new calculation. BA always sent those but it seems AA didn’t.
I have only ever received “Your trip confirmation” emails after the original and any subsequent changes. I guess I will call them to ask for the fare calculation to be sent over - unless there is a way to retrieve the full eticket from the website?
Call and ask for the payment, taxes, carrier surcharges etc... in details in an email or a PDF file. The airlines will comply.