Bridles on horses, mules and donkeys create z-fighting

Summary:
Bridles on horses, mules and donkeys create z-fighting.

Steps to reproduce:

1. Summon the horse, mule or donkey.
2. Time them.
3. Equip a saddle on them.
4. Sit on a mob.
5. Look carefully at the bridle

Observed results:
Bridles on horses, mules and donkeys create z-fighting.

Expected results:
Bridles will not create z-fighting.

Video:
Minecraft 2022-10-29 20-49-37.mp4

Screenshots: