[Problem]
When I added a custom parrot model, whenever it would be on my shoulder it would not use the custom model/texture

[Idea]
Whenever a Parrot is on a player's shoulder, it should be able to use custom models/textures.

[Optifine does this?]
I found an old issue thread in which sp614x said it was fixed for Optifine.
sp614x/optifine#967 - Custom Texture not working,
sp614x/optifine#2295 - CEM fix?

[Additional Context]
I want to allow my custom Parrot models to work when on the shoulder and change the model to include a version where it lies down on my player's shoulder.

Thank you.