I’m trying to join the small yellow pads with my gearbox:

File is here.
The shrinkwrap targets are causing the z-fighting. The red target is only used for correcting distortions caused by the hole cut in for the protruding orange part. I’m referring in this post only to the pads on the two siderings. Only the left ring has the blue shrinkwrap target since the right ring is just created by mirroring.