Naphtha or denatured alcohol, not Goo Gone.
Do not immerse or soak for any period of time, and most definitely not Goo Gone.
Use Naphtha or denatured alcohol to bring up the edges when peeling the paper off with a clean rag with your fingers.
Use the rag to blot the plastic.
Clean residue with a light circular motion, no scrubbing.
Keep rag and container away from open fire including all potential fumes, or you will understand the meaning of "flame on".
Many people do not realize how spontaneously this stuff can ignite, and it will suck the moisture right out of your skin leaving nasty second degree burns.
Goo Gone will leave unwanted residue and if not careful can discolor the plastic ink screening resulting in color blending and "bubbling".
Goof Off will melt and warp the entire plastic dependent on material, smear the ink screening at best, and "window pane" the plastic at worst.
Neither are good things for brand new plastics.