Instead of uploading the app through Xcode's Organizer, I just exported in from there and then used the Transporter App to upload to the App Store. It gives a much more detailed error message.
In my case, it wasn't satisfied with the Build Number that I gave and found a duplicate. I was able to resolve that by uploading through the Transporter App.
Transporter App can be downloaded here: https://apps.apple.com/de/app/transporter/id1450874784?l=en-GB&mt=12
Topic:
App Store Distribution & Marketing
SubTopic:
TestFlight
Tags: