I placed a LED strip on the doors that has a painted rim and it lights up really nice.
The paint is only “frosted glass” so if I would do it again and had the time to do it correctly then I would have painted it on the inside too before adding the LED strip since some light shines through.
As you can see the light shines through the glass where the LEDs are.
So if I would done it again I would have painted the inside of the glass or used tape to block the light from coming out through the rim.