Keep trying to get it refunded or restored? That is just bad customer service if they refuse to refund or let you restart the quest with a restored bracelet.
You paid $20 for a service you did not get to receive with the fault belonging to someone else and not your own.

I would not give up, keep trying to contact the GMs about this, and you can even try calling their support line (I don't know the number but maybe you can find it in the link below). Try the web link below for their website support forms and etc.

http://support.na.square-enix.com/co...p?id=5382&la=1