The Carvey is capable of cutting 3D G-code files that have been produced with a CAM program that is 3D capable.
Easel is not. Good news is that there is other software that can create 3D G-code files that can be run on the Carvey. Some of it free to hobbyist and others that are rather expensive.
If you use any program other than Easel to send G-code to the Carvey then that will void your warranty. Lots of people do it. The warranty period is not extensive so at some point you won’t have a warranty anyway.
A 3D program that has a free component for hobbyists and very small businesses is Fusion 360. A paid program would be Vectric Aspire (Desktop and PRO do not design 3D carvings). There are others available also.