I think it is below the clearcoat. The color of the car is Silver and the color of the cut is kind of darker gray...does this make sense?
Yes. It would be a whitish scratch if it was just in the clearcoat.
Get a touch up bottle from Mazda, and a can of clearcoat lacquer from a parts store.
With a sharp toothpick, or other similarly shaped object (do not use the brush or 'pen') lay several layers of paint into the scratch until it's a slight ridge, waiting about 15 minutes between layers. Let it dry overnight.
Gently sand the ridge down flush to the rest of the surface with a very fine sand paper (a fine sanding sponge works well to make them even) Be careful to only sand the new paint, and blend the edge into the surface.
Clean and dry the area well with a lint free cloth.
Mask anything within 12" of the scratch , preferably on a seam or transition.
Spray several thin layers of the lacquer, again 15 minutes apart, keeping it as localized to the scratch as possible. Use a back and forth motion, stopping and starting with each stroke. Practice on a piece of cardboard first if you haven't used spray paint before to get the feel of focusing it on the scratch without causing runs.
Let dry for 4 days. Then use a liquid polishing/rubbing compound to polish the repair. Make sure its for polishing new clear coat, not for restoring dull paint.
Done.
You could skip the clear coat and polish the paint repair itself, but it will look and last better with the lacquer.