Omg! I hope they figure something out. Someone did say that if for some weird reason u don't get it badge, print out the receipt for that badge and take it with u to otakon. And I steadying waiting in the pre reg line, there should be another place for u to go in for mailing questions or something, but if worse comes to worse, they can help u there if not sooner.
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I would say not to wait until you're at the con and get in contact with the help desk immediately.
I'm sure they'll be able to help you, but it might take some time since I'd imagine they're pretty swamped right now.