How to flatten a compound curve to create a flat image for laser cutting a wooden veneer

Hello, I have a solidpart that is essentially a ring with a compound curve on the outer surface of the ring.  I plan on putting a wooden veneer over it.  I would like to laser cut the wooden veneer so that I can properly lay the veneer over the SLA printed part.

I read a similar thread, but it seems they had to use another program to flatten out the part.  Does anyone have a simple way to do this using just Solidworks?  Thanks in advance!!!!

Attached is the file.

SolidworksDrawings And Detailing