Ring to Open with a switch

you can do this simple with a Wifi relais with 12 V
for example this one

on the relais port you connect the ring door bell cable for the door bell . and the configure this with ifttt or the tuya app ( Wifi relais switch on and Virtual RTO device is on then open door with opener . ) for the if rule you must create a virtual switch with on the tuya site . that must be triggered via ifttt when rto is active . otherwise when you opener is near the ring door bell you can connect the ring door bell connectors to nuki opener doorbell input . that must be goes to .
the first opinion is wireless
the second over direct connect