ring door bell pro and eero mesh do not work

I am trying to connect a Ring Video Doorbell pro to the eero pro 6 network. During the ring doorbell setup last step I get the message "too far away from router".  I have restarted the eero router and two eero beacons. I have factory reset the ring doorbell. The only success that I have had was when I removed the ring doorbell,  connected it to the doorbell transformer in the basement, and then configured ring to connect to the eero router.  I then reinstalled the ring doorbell on the front of the house and connected to the mesh eero beacon.  it worked for about 5 minutes. I thought the who idea of the eero mesh router and extenders/beacons  was to extend the same network name throughout the house.  any suggestions how to make this work. It worked with my old Zyxel router.  The ring doorbell is on the front of the house,  the eero router is in the back of the house and two eero mesh extenders between the front of the house and the router.  All of the other network devices work, except for the ring doorbell.  Any tips or suggestions would be appreciated.