That's a circus! It broke June 8th, and here we are a month later and you can't use something you paid $800 for, and they can't get it fixed within a week? And it's just days old when it breaks?
I'd demand a refund and threaten a chargeback on my card. They've given you so many promises and broken them it's not very far from fraud.
Tear them up on the phone and don't let them go until they simply send you a replacement. Screw repairing the old one, they've got new ones sitting on the shelf and it's been over a month. There is absolutely no excuse nor reason for this, and given the war between oculus and vive I'd consider blowing it up on social media - you can be sure they'd fix the problem lickety split if it was shared more than a few hundred times on any of the big sites.
You don't even have to embellish it. Just provide a few stock images of the vive and the story of their terrible customer service and support. Get it in the right channels on facebook and their corporate machine will notice and bump it for you, hurray for competition.
You are being awfully nice to a company who's screwing you over.