On the videos Iāve seen, it seems to help when you add a little heat, ie a hair dryer or heat gun. Keep it moving or you could damage the paint. Iāve used dental floss to get behind and remove the badge. I would try the dental floss first. If it will not go through try a little heat.
I swapped the same red/gray Rubicon-themed trail-rated badge for black. It took less time to swap the Jeep letters on the tailgate!. I recommend fishing line, I used 50lb test and still snapped it a few times. There is a tab that fits into a hole in the body of the truck about 1/4 way down from the top.