To answer my own question, I received the additional sync module and connected it to the original sync module for power instead of using the 110V adapter. The system continues to work well without any problems. For me this is a big plus since I did not have to use another receptacle on my UPS. I suppose you could also connect a Blink camera to the sync module for power as well.
There was a recent robbery in our area where power was cut to the business, and therefore the security cameras did not function. In our neighborhood, the main circuit breakers are located outside the house in a box just below the electric meters… a very easy way for a would-be criminal to cut the power first!
My modem has always been connected to a UPS, and now my Blink sync modules are connected to hopefully prevent this from happening at my home. And of course, Blink wireless cameras are absolutely essential!