No need to cut it. Just bolt the tow-bar A-frame to the original bumper holes, the bolt the bumper bar above the A-frame on little tabs that come up. All done.

And safe too, regardless of what some rule book says. Use professional and competent welds. Modern tow dollies are safe too as they have their own brakes. But they add a lot of weight to the tow.

You may want a drop hitch depending on how high your two vehicle is.