I am also having problems with a second PC. I documented this on ticket #0022537. This PC was working as recently as the day before yesterday and it is now also stuck in this same update loop.
I followed the FAQ on Battleeye's website, but I got no relief. I have sent them an e-mail with the details (I also pasted this e-mail to ticket #0022537) and I am awaiting their reply.
LS/DR: I have two PCs and I can't run DayZ on either one of them! I understand that shit happens, but this is not amusing!!!