As mentioned in another post, nufnuf was able to codeshare all my AA flights - LAX-JFK to AY, JFK-DFW to QR, DFW-LAX to AY and the BA flight LAX-LHR codeshared to AY so they'll all earn 50% of miles instead of the microscopic share of fare paid on the DONE4.

100,000 Avios and 21,000 TPs to BAC on a DONE4. Full routing in my other post.