I just learned that Edge can have different profile directories. The default one is this one and is used most of the time:

C:\Users{userName}\AppData\Local\Microsoft\Edge\User Data

But I could create another set of profiles when I launch the msedge.exe with a user-data-dir parameter. For example like this:

"C:\Program Files (x86)\Microsoft\Edge\Application\msedge.exe" --user-data-dir=C:\Blub"

If you start edge in this way, you can generate a new set of profiles that are stored in "C:\Blub".

I stumbled across this parameter when I learned how to debug with VS Code.