I could not figure out how to apply for Global Entry while I had expired 2-year card + my extension letter. I was trying to insert all sorts of dates, but in the end I just had to bite the bullet and wait to apply until I got my ten year GC.
After applying for GE, it surprisingly only took something like three months before I was conditionally approved. Of course there were no appointments before 2023 any interview location I could get to, so I'll just have to do the interview when I return to the US from my next trip abroad.