The supports are generated by your slicer (Cura, in your case). I don't have the Cura Lulzbot Edition on the laptop I'm using at the moment, so I can't give you specific instructions, but as I recall Cura has options to add supports "touching buildplate" or "everywhere". You'd want to use the "touching buildplate" option if you want to add supports for the lower hinges. Let me know if you can't find the right settings.
That's very interesting to hear that Alzheimer's patients can also benefit from having something to fidget with. I've received a lot of feedback from parents and teachers of kids on the autistic spectrum, as well as those with ADHD, but this is the first I've heard regarding Alzheimer's. It's always great to hear when something as simple as fidgeting can provide relief to people, and to know that there are people like yourself who offer their time and services to help others. Bravo!