Motorman,
Just clean up the part for fitment (if necessary) as you normally would and don't worry about the brown. If you're happy with the part fit as is you can simply wipe along the brown edge with your finger to remove any loose residue that might be there and then get out the glue. Sometimes though you'll notice that the edge is not perfectly square or flat as it comes out of the sheet. Because of that I'll always give any laser cut part at least a good close look and a light scuff with some fine sandpaper just to make it "perfect", just depends how picky one wants to get.