126.96.36.199 Seems to have addressed the issue.
What I ended up doing is using the rollback feature, which brought me back to update 13165. I then tested accessing Office 365, which worked. Then I turned off the rollback to re-enable updates. When I forced an update I got 13171, and confirmed that it also works. The odd thing is that there are a couple of computers in our organization that have update 13182, and they work fine.