The iPad, I think, is finally bonked. I hit update for the latest iOS, but it has been rebooting for the better part of the day. It progresses with the update, but then… kaput. Reboot.
Plugged in it kept doing that dance, so I took it off of life support and let it drain its battery. I just tried connecting to it with my laptop and it is still the same.
The problem was always there. For the past year, it would periodically reboot unexpectedly. It would first freeze then restart. Sometimes it would do it in succession. Something was definitely wrong with it. Sadly, I think I will be without an iPad for quite sometime then.