Capes clip through worn armor

Steps to Reproduce:

1. Have a cape equipped;
2. Switch to third person view;
3. Wear any type of chestplate.

Observed Results:
The cape doesn't move at all.

Expected Results:
The cape gets moved back a bit to prevent clipping through the chestplate model.

Screenshots/Videos attached: Yes

Notes: This is not a feature request, as this used to work prior to 1.13.