I am sorry to read that you are feeling sad about your repair experience, @Members_Z8FebEP.
I appreciate that you'll be keen to get your Z Fold3 working as expected again. I can see the phone listed on the Samsung Care+ site, so I'm confused as to why you've been unable to proceed with booking a repair.
While I understand that you've already reached out to various Support Teams about this, I would recommend that you continue liaising with the Care+ Support Team:
Please update the thread and let us know when you get your repair finalised.