Hey Y'all Popping back in here 5 days since my last post: I was able to eventually get a system restore via iTunes cable connected to my PC. It took like 50+ tries. I will say that it was able to completely restore, however, every hour or so it would get into a boot-loop issue again. Because it loaded iOS13, and not the beta, I no longer believe this to be an issue related to the beta. I believe that this is just a unfortunate coincidence for me and a hardware issue. Thanks @Stan from Morrisville ( If that morrisville NC we're practically neighbors!) for the motivation to keep trying. Good luck everyone.

So, Following up on my post. I went through the ringer on this and got nowhere. My phone boot looped like this, got escalated on support chat, it couldn't be found by my PC or my Macbook air. After a few hours on the chat we gave up and scheduled an in person appointment at the best buy near me since apple stores are still closed for COVID. AT this point I was stuck JUST on the dead battery screen for hours, phone would get a little warm, but never leave the dead battery screen. Best buy support was able to get it back into the restore screen with the lightning cable/laptop support screen, and he could start a restore, but the restore would cancel out. I took it home and tried to connect to my PC, now the phone could be found by itunes and the macbook, however after preparing to update/restore, the iphone would flicker off, and then I would be greeted with a 4013 error. I spoke on the phone with apple support again who said that this appears to be a hardware error and it would be $550 bucks to fix. That's where I am at now.

EXACT same thing happened to me about a week ago. Still struggling. Did you get anywhere?