It came with a plug in wireless chime, but nothing to wire to the old chimes. I have only been using it since October, but no issues so far. We live in the country, so not a lot of visitors either, but we have had several people use it over the holidays.
This is the exact one I purchased: https://a.co/d/88peOTU
I’m powering it with this: https://a.co/d/dpTUHh4
For my own morbid curiosity, why Zigbee?
If you don’t want to learn ESP Home yet, but you’re ok with Wifi, here’s a sensor that uses ESPHome, but is all pre-programmed and ready to go with Home Assistant. I haven’t used this produce yet, but the other products from Apollo are pretty awesome.
https://apolloautomation.com/products/temp-1-temperature-probe-for-home-assistant