Just like title says, you might remember this bug from when the Deluxe skin released as well, which had the same issue.
Simply put, the tabard is not supposed to go anywhere (it's not even on the effigy and it wouldn't connect anyways). Should be fairly simple.
I hope you guys can solve this!
EDIT 25.7.0: Scapula (the cloth thingy) offset is fixed as of this update, so removing it from the thread! The Effigy script issue is still present! 🙂