I don't think it's helpful to think about this as the company "trying to steal from you". There is no intention here. It's just something that got lost in a bad IT system. You gain nothing from issuing a chargeback. You imperceptibly nudge some statistic and a "banned for life" flag might automatically get flipped in a database. There's no righteous comeuppance here.

You try to contact support, pester them a bit, call someone if possible, and eventually, you may get your money back. If you don't, then you issue the chargeback.