My new doctor keeps making mistakes in my Zepbound prescription to Lilly

I've been on 5mg vials using self pay option for 4 month, because I moved states and my new doctor keeps making mistakes in my Zepbound 7.5 mg doze prescription to Lilly and it doesn't go through. First time I received text from Lilly saying that they received prescription and are working on it and then second text that correction needed for prescription and that doctor is notified. At the doctor office they didn't even check anything and said that they sent everything and for me to simply wait. I contacted Lilly and was told initial prescription was rejected due to mistakes on how to administer the medication and that doctor was informed right away that they need to file new prescription with correct info. After ONE month I had second visit with doctor and she tried sending prescription to Lilly in front of me, she wasn't sure on how to do it, but tried and now two days have passed and I haven't received any text from Lilly (which usually happens right away), i contacted Lilly and one person told me to wait for 24 hours and when I called again after that time another person told me to wait for 3 days instead and I also asked them if doctor can send them fax with prescription instead, they said for self pay option they can't.

This is so frustrating and I'm worried that something is wrong with prescription again and I won't have it in time.

Has anyone experienced long waits for prescription to be received by Lilly?

And is fax really not possible for self pay option?