On my DS, it said “up to date” when I tapped the Bridge icon on the LCD display. Maybe it’s because I didn’t power cycle my DS. If I had, the Bridge would check and see that an update exists.
Anyway, I ran the mConnectHD app on my iPad and went to Device Settings, then Bridge. A notification appeared saying there was an update available. I installed it.
Update success!
More details here Bridge II update?
So far, everything works. I’m happy with the new Bridge firmware. Thanks, @Paul. 