(Second) key does not disable WFS

Hello and a beautiful good morning, after I have been studying the forum for hours and have not found anything else in the WWW, I venture into the cave of the lion. I have had a Phaeton 3.0 GP0 BJ2006 for a week. Until yesterday afternoon he did everything as well. Yesterday my wife started her maiden voyage with the car. She “must use her own key of course. The journey to the destination went to her full satisfaction. Now I got all the rdings a daily call for help regarding the return trip. At first the car probably did not open via the remote control, then it opened the car with the key mechanically. Then the alarm system came in, but this was mentally deactivated by a pressure on the key. Unfortunately, for the order of the actions my wife can no longer give any guarantees due to the annoying load. Then at least her radio remote control worked again. Nell put in the car, Ignition key plugged in and with horror read the message “Immobilizer activated”. After some more excited phone calls I drove to her about 2 hours and could start the car there with my (first) key without any problems. At the sample on the example with her (second) key also I only came to the display message “Immobilizer active”. A battery change at the (second) key of my wife did not bring any improvement. What to do dami t also my wife can use her own key adequately again? The good Phaeton is again in front of our apartment after a successful return trip, using my (first) key. Greetings and many thanks in advance! The Goon