Open Amazon Alexa app on your phone. Goto Devices -> Camera -> Ring doorbell cam name -> turn on Doorbell Press Announcements and /or Motion Announcements -> Announcement Devices -> Select Echo Show 8 and/or other Echo devices.
Try to press the doorbell button and watch Echo show.
It works on my Ring doorbell 2 and Echo Show 8. Also it works on other Ring Spotlight cam motion too.