I bought the Deluxe Edition but no early Access :(

Please try the steps in the pinned post on Tech Support for PC issues. If none of those things help, you will want to post in Tech Support.

https://us.forums.blizzard.com/en/d4/t/pc-unable-to-log-in-with-digital-deluxe-or-ultimate-edition-early-access-info-here/23617/3

If someone has a PS5, that is a different issue that Sony and Blizzard are working on. There is a work around to apparently buy/download some sort of free/cheap something off the console store? I don’t play console, but some players have suggested it.