### 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
int at_pos = -1;
	for (uint32_t i = 0; i < animation_libraries.size(); i++) {
		if (animation_libraries[i].name == p_name) {
			at_pos = i;
			break;
		}
	}
	ERR_FAIL_COND(at_pos == -1);
	animation_libraries[at_pos].library->disconnect(SNAME("animation_added"), callable_mp(this, &AnimationMixer::_animation_added));
	animation_libraries[at_pos].library->disconnect(SNAME("animation_removed"), callable_mp(this, &AnimationMixer::_animation_removed));
	animation_libraries[at_pos].library->disconnect(SNAME("animation_renamed"), callable_mp(this, &AnimationMixer::_animation_renamed));
	animation_libraries[at_pos].library->disconnect(SNAME("animation_changed"), callable_mp(this, &AnimationMixer::_animation_changed));
	animation_libraries.remove_at(at_pos);
	_animation_set_cache_update();
	notify_property_list_changed();
}
void AnimationMixer::rename_animation_library(const StringName &p_name, const StringName &p_new_name) {