Keeping the tag on there, forcing him/her to change their actions, is much better for them than just ignoring it and letting them do it again.
I would say "if" in the future OP can show a proven history of change, then they can reach out to OG to request a review. Until then it's no different than when I used to tell the principal I'd stop blowing off classes or some other stupid behavior of the sort.
For now suck it up and improve.