Prints nicely with PLA at 0.2mm, 0% infill and 2 or 3 perimeters.

If you have any multicolor/rainbow filament I very much recommend using that, it looks great!

ETA: So I previously suggested printing it upright with snug supports, since they held up fine and came off far more easily than the organic ones (which were a pita to get off). Well, after printing 2 dozen eggs with absolutely no issue suddenly the printer vibrations are shaking the eggs loose from the supports? I have no idea why it is a problem now, I'm even using the same filament. Maybe turn down the speed and/or print a test egg?