I have the following issue

I need to prepare an image, that shall be printed on a spherical item.

If a flat image is printed on a rounded item, the result will be heavily distorted.

So my plan was to use FreeCad, create a sphere apply texture to the sphere and export view as 2d flattened SVG, but this does not work. :'-(

Is there a another program that I could use for my issue? (I am to stupid for blender)