Ah, "ultimate" is probably more aggressive than rubbing compound. See if rubbing compound will mostly kill the haze; if that works, then polishing will finish the job and bring the clear coat back to shine.
To flatten a raised touchup spot, you need wet sandpaper, no heavier grit than 2000. But you have to go lightly and patiently with lots of water, and ONLY on the raised paint: you go beyond that and you'll cut through the clear coat before you know it and then the paint down to the black plastic (or in this case, the steel of the hood). Once the raised touchup is flat to the surface, then you go to work with the rubbing and polishing compounds.