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The version of Slicer I have allows for a few rotation settings:

  • Visually/Manually Rotate
  • Enter degrees to rotate about each axis
  • Select a "base"

The last one is probably what you're looking for, and is certainly the most used (I'd be surprised if Cura doesn't have it). Basically, it highlights various planes that you can select. Upon selecting a side, the object will rotate and make that the new "base"