Wii question Moving Mario Kart license to new console?

My Wii has been in death throes for a while but I’ve been in denial. Now I’m getting constant “disk cannot be read” error but ejecting and reinserting disk will work for a short time. I took advantage of a holiday sale and bought a new console tonight so my question is:
How can I move my license in Mario Kart over to the new console so I don’t have to start all over?
I can still run the old console for short periods and I have a memory card.
Sorry if this is a silly question but I’ve been used to just playing without worrying about anything.