CB 4.6.1 EE claims to be CE

In my test lab I have upgraded a CB cluster from 3.1.3 Community Edition to 4.6.1 Enterprise Edition.
All works well, except that CB thinks it is still a CE version:

  • the top left of the CB GUI shows ‘Couchbase Community Edition’ (‘about’ says Enterprise Edition),
  • the new cbbackupmgr refuses to backup, claiming: “is not Couchbase Enterprise Edition”

Is there a way to fix this, other than doing a clean install?