Describe the bug
Villager item rendering broken when using EMF, ETF, ConntectedTexturesMod, Fresh Animations, and Easy Villagers

Testing was done on Neoforge 21.1.51 using Minecraft 1.21.1 with all configuration options left at default values
EMF: 2.2.6
ETF: 6.2.5
Easy Villagers: 1.21.1-1.1.23
ConnectedTextureMod: 1.21-1.2.1+3
Fresh Animations Resource Pack: 1.9.2

Requirements:
https://www.curseforge.com/minecraft/mc-mods/entity-model-features
https://www.curseforge.com/minecraft/mc-mods/entity-texture-features-fabric
https://www.curseforge.com/minecraft/mc-mods/easy-villagers
https://www.curseforge.com/minecraft/mc-mods/ctm
https://www.curseforge.com/minecraft/texture-packs/fresh-animations/files/5494142

Issue appears to be an interaction between ConnectedTextureMod and Entity Model Features when using Fresh Animations resource pack (though others may also have this issue). depending on render path, the models may show up fine. The problem does not occur in the player inventory screen nor if the player is holding an item in hand.

Removing any one of the mods or the resource pack and re-launching the game will resolve the issue

Steps to setup for testing:
Ensure Easy Villagers, ConnectedTextureMod, ETF and ETM are installed
place chest
pick up villager or add from creative menu
open chest and put villager in chest
empty player inventory
add Fresh Animations to the active resource packs
save and exit and close the game

Steps to reproduce after setup:
launch the game
open the save
open chest and see the model

Caveats:
changing the resource pack while in game does not seem to trigger the model bug nor fix the model bug. I expect reloading resources may not rebuild the models in the same way. The game must be fully closed after making changes.