Surface line to same plane

Hi everyone, I am preparing laser cut file, but ı could not find to way put all line to same plane without losing original shape, thanks in advance
for laser cut.3dm (2.8 MB)https://global.discourse-cdn.com/mcneel/uploads/default/original/3X/8/f/8fccbd3737d8a3629eec8d2193252eb9fb5f3a1f.mov

Best way I know: create surfaces from closed curves with PlanarSrf, Unroll to World Top Cplane (i.e. the default Cplane in Perspective View) with UnrollSrf, organize parts to be cut. If your laser cutting software cannot handle surfaces, copy the edges with DupBorder.

You could try setpt