Global Blue just emailed me confirming that the forms I scanned on 4/29 were confirmed and being processed. They said it takes 36 days.
Apparently, Chanel is processed by another company and I accidentally submitted those numbers. Need to take another look at the forms later. Thank you, everyone!
Yes Chanel is premier. Global blue also told me 36 days. That must be their new magic number, although I'm a bit past that and nothing yet. My tracking numbers are still not in their system.