Your calculation is correct: The ticket will give you 524 Qpoints, of which 118 earned and operated by QR (76qpoints short of Platinum, in addition 2 Qpoints short of QR marketed and operated flights).
Booking as AA codeshare gives more Qpoints, but in addition to not meeting the condition to have 20% of QR-marketed and operated flights, one also cannot easily assign Qsuites as the middle aisle ones are blocked for QR-marketed bookings in my experience.