woow too good thank you very much, all this information is so informative. I must say that I know nothing about CNC D or my message, it would be interesting to do a test with a mask twice as small to see what the possibilities are, I also see in your message that you are talking about CNC for wood and you are also talking about robot box what is a robot box? I know that it might cost a certain amount but I think it is worth it and I think that the colors that we can give to the wood afterwards can be very interesting, playing with transparency.
The commercial version of cnc milling machines are the 15,000 starting price and are a robot inside of shielded box to keep flying objects from harming people. 15000 would be the price expected as a very old used unit. A better way too find these is to search on 4 axis and 5 axis milling machines. Extremely expensive. Small, home version, would not hold anything the size of the mask. I wouldn't recommend going that route.
CNC routers are much cheaper but still several thousand dollars if they are quality. Some small units are in the range of 500. With these the mask would need to be flipped over to do the other side.
I recommend doing a lot of watching online videos with similar projects.
This is not even somewhat in the realm of easy.
A 3d printer would be far easier and cheaper with only the need to use the correct filament (mentioned by Mottrex ) and final touchup paint when done. I could also do the entire process without flipping it over or learning how to make cnc keying.