This afternoon, I spotted 2 huge bird droppings on my car while Xmas shopping. I wanted to get it off as quickly as possible before it set in and left a permanent stain on my car door, so I went to the nearest gas station and used the window cleaning sponge/squeegee to remove it. When I got home, I noticed at certains angles that I scratched what appears to be just the clear coat layer of the paint. Is there a way to remove this? Would the Zaino swirl remover work on this?

2004 G35C 6MT DG/DG Premium, Alum Pedals, Huper Optik Tint