I once bought a used coin-op with a broken sidewall. I took the wall apart and made another one for it and carefully re-laminated it. If you didn't know it was a replacment wall, you wouldn't have been able to tell. I also did not groove the hole on the new wall. Just a thought, your table may have had something similar done to it. There are router bits available to create the groove. I would use a laminate trimmer style router, and make a round template(guide) to make the cut. Clamp the template perfectly centered over the hole so you will have a guide so as not to go too deep. You could do some test holes first, making sure you have the router set just right, and the template(guide) is right. I am a Trim Carpenter, and I know it can be done. Good luck!