Web-based and Desktop are treated differently?

Every year I've been filing my taxes using the online (web-based) TurboTax. Recently I saw that you could purchase a Fed and State filing from Amazon so I bought it.

You get a download code after installing the software.

I did this yesterday at my home, and today I logged on to their website with the same user account but apparently it doesn't recognize that I purchased the desktop 2024 Fed and State filing.

It seems you can use either the desktop, or the online, but not both. Can anyone confirm this and is there a way to make it work so I can file using either method?