AT&T Unite Pro

I have an AT&T Unite Pro that I use as my home internet.  Sure, the limit isn't huge but I have bought a dock for it (See: http://amzn.to/1OeN5lJ).  Since it's my home internet, it is always-on.  I currently have it bridged from USB to Ethernet on a old laptop, having the ethernet go into a normal wifi router to have a home network.  That being said, I have the unite pro running on the computer USB power only.  Was wondering if it would also run off just AC power on the dock also.  This doesn't damage the hotspot using AC power only with the battery out does it? As I'd rather not shorten the life of the battery having it charging all day.  Thanks!