### 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
String name = p_name;
	if (name.begins_with("libraries")) {
		Dictionary d;
		for (const AnimationLibraryData &lib : animation_libraries) {
			d[lib.name] = lib.library;
		}
		r_ret = d;
	} else {
		return false;
	}
	return true;
}
void AnimationMixer::_get_property_list(List<PropertyInfo> *p_list) const {
	List<PropertyInfo> anim_names;
	anim_names.push_back(PropertyInfo(Variant::DICTIONARY, PNAME("libraries")));
	for (const PropertyInfo &E : anim_names) {
		p_list->push_back(E);
	}
	for (PropertyInfo &E : *p_list) {
		_validate_property(E);
	}
}
void AnimationMixer::_validate_property(PropertyInfo &p_property) const {
#ifdef TOOLS_ENABLED
	if (editing && (p_property.name == "active" || p_property.name == "deterministic" || p_property.name == "root_motion_track")) {
		p_property.usage |= PROPERTY_USAGE_READ_ONLY;
	}
#endif 
}
void AnimationMixer::_animation_set_cache_update() {