Sorry, I haven't followed your situation carefully but can you check via 1 of the steps at Battery replacement recall remedy tracking summary that it does NOT say "remedy not yet available" for you?
Pages 4 to 5 of https://static.nhtsa.gov/odi/rcl/2021/RCSB-21V560-3056.pdf has the ordering procedure for the dealer. From what I've seen from the GM dealer tech who has been posting on FB, VIN and contact info is sufficient. Car doesn't need to be brought to the dealer to order the pack.