ChampVA enrollment is insane - advise please

I sent a fax application for my child in July. I called to verify they received, but they told me there was no way to verify. They suggested I also mail it, so I did.

I spoke to them today and was told to check back in 30 to 45 business days because of the backlog. They still can’t even tell me if they have my application or not.

How can they verify this behind in technology where they can’t even verify receipt of an application? Anyone have any advice?