How to maintain the same origin?

I am trying to cut the hexagon out, take that piece out of the material it was cut from, bevel the edges, pop it back in the same spot it came from, and then engrave it so that it engraves the edge of the angle.

The only way I can figure out how to do this. is if I delete the engraved part, cut the hexagon out, leave the material in place, take it to the saw, bevel it, then come back and pop it in the same spot. I can only get it to do what I want if I have it run the cut path again after I put it back in the mold. i cant figure out how to delete the line and keep the same positioning…

When I delete the outside line in LB and the engraved part stays in the same location… it moves the origin in LB, and also moves the positioning on the machine and flips the logo upside down.

I don’t want to have it cut the same path again and just want to keep the same origin and then engrave in the same spot it came from.