Sorry you’re fighting the system. BL support is pretty overwhelmed right now and they’re working on training new support staff. Sadly, that takes time … Not of course something you want to hear when you’re frustrated.
Now - to your problem - Have you disassembled and checked the wiring?
Obviously, do this with it disconnected from the printer -
I’d carefully unplug and re-plug each of the plugs inside the AMS. If you’re concerned about opening it, don’t be, BL doesn’t play the “open it and Warranty is void” game. Unless of course you mangle it …
It may just be a loose connection.
Also you might read these two threads. It doesn’t directly discuss your problem but it will give you some insight into the AMS and it’s issues.