Ring Video Doorbell Pro - Constant Ringing and Reboot at night

I just installed a Ring Video Doorbell Pro but it's constantly ringing my internal mechanical chime (about 5 times) and then the Ring Video Doorbell Pro will reboot. Once as the Ring Video Doorbell Pro reboots, all good, but then as soon as the infrared turns on, click, my doorbell goes off 5 times, then the Ring Video Doorbell Pro will reboot again. (therefore, during the day, my chime will ring 5 times, and then the Doorbell Pro will reboot, but because the infrared doesn't come on, it's not constant ringing. Didn't really know that I had a problem until it got dark) I'm using the recommended 16 volt AC Transformer(30VA). When I use the Pro Power Kit that comes with the Ring Video Doorbell Pro, my chime will just constantly ring, even if the Ring Video Doorbell Pro is connected or not. I really would like to use both the Ring and my existing chime (My chime is made from the 70's, old-time Wall clock\ Chimes) It would be a shame if I can't get all this to work together.