### Godot version

4.2 RC2

### System information

Any

### Issue description

https://github.com/godotengine/godot/assets/61938263/42ed582f-7b87-424c-8d19-ba0650ead5aa

It should not be reset by pausing.

### Steps to reproduce

Pause AnimationPlaybackTrack

### Minimal reproduction project

N/A
StringName from_name = p_library == StringName() ? p_name : StringName(String(p_library) + "/" + String(p_name));
	StringName to_name = p_library == StringName() ? p_to_name : StringName(String(p_library) + "/" + String(p_to_name));
	if (!animation_set.has(from_name)) {
		return; 
	}
	_animation_set_cache_update();
	_rename_animation(from_name, to_name);
}
void AnimationMixer::_animation_changed(const StringName &p_name) {
	_clear_caches();
}
void AnimationMixer::_set_active(bool p_active) {
	
}
void AnimationMixer::_remove_animation(const StringName &p_name) {
	
}
void AnimationMixer::_rename_animation(const StringName &p_from_name, const StringName &p_to_name) {
	
}
TypedArray<StringName> AnimationMixer::_get_animation_library_list() const {
	TypedArray<StringName> ret;
	for (const AnimationLibraryData &lib : animation_libraries) {
		ret.push_back(lib.name);
	}
	return ret;
}
void AnimationMixer::get_animation_library_list(List<StringName> *p_libraries) const {