Jelly scripts can only be run by administrators, so there's not a lot of point in trying to do this as a button - most of your users simply won't see it.
I'm really not sure you have a useful requirement here. If the users are supposed to be triggering this change when they notice it (instead of a Jelly script doing it automatically on a schedule), then all you need to do is give them the "overdue" transition. A script is utterly pointless here, all it does is duplicate an action you can configure in the UI in a few seconds.
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