Hardwire Connection

I moved my ring doorbell from my old house (wireless connection) to my new house. My new house had a physical door bell so I replaced the physical button with the ring. The ring will ONLY work once. if I press the ring button, the inside chime sounds. If I press it again, it will not chime inside. If I disconnect the ring from the cable, then connect it, and press the ring button, the inside chime sounds but not if i press it again. Any ideas what this could be?