Sign in with Apple is using iCloud email instead of regular email

So I recently changed my phone, and I'm trying to log back into all of my apps. There is one where I used "Hide my Email" and for some reason, when I try to log in, it's trying to use my normal email and telling me to log in with Google instead.

The weirdest thing is, if I try to log in on my iPad, it works properly with the hide my email. When I try other apps on my phone, it uses the hide my email addresses without issue.

I've tried deleting and reinstalling the app many times, and I've even messaged Apple support, but I can't figure out a solution. I'd really rather not have to wipe my phone or anything drastic. When I try to log in with email and put in the privaterelay email, I get redirected to log in with Apple, which then redirects me to log in with Google. Any ideas?