If you got a perma ban, it was apparently due to using an aiming cheat tool as stated from Bungie's Tweet. If this is the case then good luck as bungie wont really tell you, so the likely hood of getting unbanned is small.
I would just request a refund then see about making a new account.
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I understand that. But I did not use any king of cheating software. That's the whole point.
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I would agree but that's just how Bungie staff is rolling right now. The only solution I can give, aside from the regular players who keep posting the ban FAQ.