Describe the bug
Currently when using Customizable Player Models with any Resource Packs that modify the player's animations, the parts added from CPM don't move with the animations applied to the vanilla parts from Entity Model Features. Though in cases where the EMF player model doesn't change the vanilla animations but has added parts like animated eyes, the head of the EMF model moves with the CPM model correctly.

To Reproduce

1. Have both Customizable Player Models and Entity Model Features installed.
2. Apply a Resource Pack that changes the player's vanilla animations.
3. Wear a custom player model from CPM that doesn't replace vanilla animations.
4. Feel heartbroken because the cool animations from EMF aren't visible within CPM models.

Expected behavior
The CPM model would remain attached to the EMF animations so long as vanilla animations aren't disabled, edited proportions in CPM done via moving the vanilla parts around would offset the parts within the EMF animations to match.

Screenshots

(please complete the following information):

• Minecraft Version: 1.20.1
• EMF version: 2.4.1
• Does the issue persist with only EMF installed?: No
• if applicable, provide your modlist or log: Customizable Player Models 0.6.19b

Additional context
Was trying to use Fresh Moves by TrasTick to apply EMF animations from it onto CPM models, Just Expressions by the same author works fine otherwise.