Hello
welcome to Rhinoceros and Grasshopper. I think, from my experience, that the best method is to dive into Grasshopper and try to solve your problem. It is better to have some experience in Rhinoceros, because it is easier to replicate in Grasshopper what you do in Rhino.
Your problem is not so simple. For example what is the 3d file needs a CNC that has more than 3 axes because the cuts are not perpandicular.
It is more easy to model that but it is more difficult to make (laser cut for example).
If you want just 2d cuts it is a bit more complex to develop. But it all depends if you want an automatic dor all cases or just a tool that work on some defined situation.
So could you eleborate on the exact parameters you want?
Examples of slits