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My inclination would be to try Easy-Off. CARC is a very high quality paint - spray bombs tend to be very low quality paint (and preperation before spraying is hardly by the book). My hunch is that the highly caustic (I.E. don't get it in your eyes, mouth or on your skin) oven cleaner would dispatch the spray markings long before damaging the CARC.
Try this on some hidden area before soaking a door panel with Easy-Off.