While this may not help you, I suspect you battery may be dead (Yes the Ring Pro has a tiny battery that Ring conveniently “forgets” to mention). This is to enable it to use traditional chimes. So when you press the button, it completes the circuit to ring a traditional chime and disconnects power from itself, surviging for a few seconds on that tiny battery. You can also test it, if you have a brand new Ring Pro. When you kill power, it will still stay on for a good 10+ seconds.
I’ve read that the battery lats roughly a year and then dies… and it’s not repalceable and you will find it very difficult to get any support for it.