Let there be li...oh.
Once I got my lamp cobbled together, mess-ups and all, and discovered it miraculously worked, I sandwiched the panel between my two rabbit pieces and turned off the lights to bask in the calming, rabbit-shaped glow of my new nightlight.
However, I discovered that instead of emitting a diffused light through the entire rabbit shape, I got this:
A nightmare creature who has somehow consumed a large rectangle of radioactive material. Not soothing! And honestly I'm not sure how to correct that so it wouldn't look like a sinister glowing rectangle inside a bunny instead of just a benevolent, dinosaur-attack preventing glowing rabbit. So instead I went back to the laser cutter and made these: