Matt,
From what I can gather you are trying to make a flat drawing. Because this is a subtractive software meant for cutting into a medium, it will create paths to most efficiently remove material. So what you will need to do is start from the middle, and work your way outward, while “cutting deeper” with each concentric ring. This way, the software can’t make paths that cut accross the middle when drawing the outer rings.
Start with a “hole” and pocket in the middle ring. Set this depth for .1mm Then you will use “part” on the inside of the second ring, and a hole on the outside of the second ring. Re-select the outer toolpath and click island. Make sure this operation has a depth lower than the middle pocket, say .2mm. Do the same for the outer ring as you did for the second ring, but again, make your depth deeper than the last operation .3mm.
I saw a bunch of circles in you pictures, so I am making assumptions about how many rings are required, but the logic would work independent of the number of rings.
I’m not in front of my computer at the moment so i can’t give you any visual help, but this should work the way you want it, if I’m understanding what you need.