Is it posible to connect Doorbell Pro to a classic push button?

Hi there all. I think I have some edge case not observed untill now. I have an existing wall doorbell, I think it's mechanical not digital. The think is that, in front of the push button there's a column so it's no really way to put there the Video Doorbell to actually "see anything than the wall". So, my idea is, to bridge it somehow to the Video Doorbell and make them both ring the same doorbell. I think it should be posible, but I don't really have the idea of how to proprer wire this. I understand, that it should be something like this:  But replacing one of the Video Doorbells by the Push Button. Knowing this... Should I use the Ring Pro Power kit? If so, where? Many thanks.