In my daily driver, which runs the canary branch of the new Edge, you only see the new one. Both apps are listed in the modern Settings UI, but old edge is not uninstallable from there.
View attachment 165370
I did a quick test on a VM. Old Edge can't be uninstalled. You can replace it with Chromium Edge, which you
can uninstall. However, once you uninstall, old Edge comes back, and again, you can't uninstall it.
Testing with another browser installed, Firefox, and replacing old Edge with new Edge, then removing it ends up the same: old Edge comes back.
Sadly, I can not trigger Windows Update to give me the update package to replace old with new Edge (ugh, we really need something better than old and new edge, this is too repetitive

) , so I can't test that scenario.