No. You do not send the letter. It is your W's responsibility to send it to the OM after you've read it and approved it.
You and W must extricate yourselves from the OM completely after the NC letter has been sent out. And be on the high alert for OM's attempts to suck W back with his begging, pleading, or covert attempts to contact/communicate with W in any way.
-Do not agree to meet with OM anywhere (either W alone or together) -Do not respond to OM -Do not acknowledge any of OM's texts, emails, phone calls or smoke signals