I managed to break the cover of my newly-arrived paperd.ink soon after unpacking it–my own fault.
Fortunately, they provide 3D models of the enclosure parts, which I was able to load right into Cura and print on my Monoprice Select Mini 3D printer. It took 3 hours to print; the result is pretty close to the original (itself 3D-printed, albeit on a better printer).