for what it's worth

https://youtu.be/L3iJnpdkLWM?t=22  a youtube video showing a successful cutting of a countertop with a router.

You would be wise to go to youtube and see the results others have had with their methods,  go to youtube and in the search simply type "cutting formica countertop", you will see a lot of video's and to get to the parts you want to see just keep pressing the L key on your keyboard to jump ahead 10 seconds,