Additional SQL Server features and topics not covered by specific categories
Uninstall should still be possible. Then you can install your licensed version. If you have user databases that you want to keep, you can attach these later. The uninstall should not touch these databases, but copy them elsewhere just in case first.
If you have data in master and msdb that you want to keep that is a little more tricky. In theory, you could copy these files elsewhere and then copy them back after the re-installation. I kind of would expect that to work for msdb, but I am less sure about master.