Ai will open a PDF as well, as long as it’s vector and not bitmap, so the same steps would work for setting up the engraving.
You can put the kerf into the model using the Offset command. F360 will keep the Offset as a parametric constraint as long as you dont modify the offset lines directly, then you can make a User Parameter called “Kerf” and specify that for the offset distance. Then this would give you parametric control of the laser cut path so you can change it for various materials if needed.
I’m modeling a fully parametric box in F360 right now with the kerf built into the model itself. The tricky part is the finger joints technically need two different offset distances, one for mating faces where both faces are laser cut, and one for laser cut faces that need to be flush with the flat face of the material. This has been fun trying to find the right combination of constraints that will drive the appropriate dimensions, but not break the shape. LOL
At least F360 gives the option to correct a parameter if something breaks. Pro-Engineer just freezes to a stop and crashes, then you get to start over.