Just got a quote at $175+ shipping to make a custom bit. It might be worth while to invest; but I’m cheap and want to find a off the shelf solution. Lol@Jafo9,
as Tom says, there are many manufacturers, and you may find the ideal bit. You will need to establish the radius of the bullnose - perhaps you can cut a cross-section from the broken door to show the profile?
My bit cut a deeper groove than yours - 3/16”. A shallower groove would, I guess, permit “thinner” cutting edges on either side of the bullnose.
I dare say you could have a bit modified or custom-made - you guys are blessed with choices in lumber and tooling that the rest of us only dream about. But I also think a custom-made bit could be a bit pricy. Modification would need some skills, as there are small cutting edges at the top and bottom of the bit.
I can’t tell from the photos whether the panel side of the frame is a 90 degree edge, or whether there is a slight bevel.
Please keep us posted as to how you get on.
The outer edge is not 90 degrees, more like 5 degree outward on both sides. The bit width is no more than 5/8ths (sorry metric people); the depth of the 1/2” half round is 1/16th in from the face frame.