I got it working. I requested an email change probably about 10 times within 5 minutes. I typed my new email in twice, typed the bot code in and hit submit, hit back on the browser and clicked sign in, put my new email in again with the bot code and submit, and looped that about 10 times.

After doing it probably 5 times I got like 4 confirmation emails for the first time on my new email.

So my email has been changed. Who knows if there's still an issue with eBay though, maybe I still won't recieve important emails.

But this confirms it's eBays problem.