[Bug Report]: Skeletons can't use modded bows

[betterworld-sjq]

Describe the bug; What happened?

So the performace of the skeleton is a bit weird.
First if you give a skeleton a modded bow in his main-hand, let's say the elite power bow. He will pose like aiming but just stand there doing nothing, neither shooting or meleeing. Then if you move the bow to his off-hand, he will start to shoot normally. By the way, {LeftHanded:0/1b} NBT does not affect this mainhand's invalidity and offhand's validity.
Then, quit and re-enter the world, he will only rush and do melee, no matter in which hand the bow is.

Expected Behavior

Shoot normally like using vanilla bow

Mod Version

1.20.1

Minecraft Launcher

Other

Operating System

Windows

Modpack

No response

Additional context

No response