One possible approach would be to export to an SVG, open the SVG in a suitable tool, apply a stroke to the open lines, then instantiate the strokes (creating closed regions), then Boolean union the geometry, resolve how it interacts with the outline of the State, and then cut as a V carving toolpath.
Alternately, one may simply assign a “No Offset” Contour toolpath…
which has one slight difficulty — the text labeling one county is then cut away (also the arrow isn’t drawn well) — resolving that requires a bit of drawing work…