The problem with having the dealership doing it is that since you are NOT paying for it they will spend around 4 seconds fixing that and making it look like a dogs breakfast. I had A similar mark on my car and the dealer ship did such a shitty job they made it look worse. They did not even prep the area and the paint came off 2 days later.
I did it my self 2 months ago and you can't even notice it.
Go to an body supply store and get a bottle of paint for your car with the code on the door with the handy brush for around $10 cash (you will end up with about 4 times as much paint as the dealership pen will have). Take steel wool and try to tidy up the loose paint in the area and to get any surface rust that may be forming off the raw steel (carefully) then clean it 4 or 5 times with Q-tips and Methyl hydrate (alcohol). Then mask it off along the edge so you wont be able to see the paint when the door is closed, and paint it.
Just take your time and do a good job masking and when the paint dries no one will be the wiser.