As suggested by darconeous I got myself two (because you never know) J3A040-CL Java cards from Smartcard Focus. I uploaded the Gauss-Key-Card applet using an ACR122U and the GlobalPlatformPro project and then paired them with my car. This part was surprisingly easy thanks to darconeous and GlobalPlatformPro work.

Then it was time to extract the chip from the card. To this end I used the usual acetone trick. To save on acetone I cut the chip from the card (usually you can spot the chip through the PVC layers of the card) and put it in an empty tea candle holder. 

After two hours of acetone bath I could take it out and extract the chip using tweezers and a knife.