No, what you need to do is brush in 1 primer coat on the cut-in where the black is, then paint your finish coat on about 3-4 coats until it's covered. Shouldn't need more than 3 or 4, but depending on how well u can paint, might take 5. I would recommend flat plaint for this, will take less coats to cover. You can prime it as much as u want but it will still bleed through, but your walls are already primed from the last paint job so where the black is will be the only area that needs primed. Trust me, my first job was a painter's apprentice. I worked as a residential and commercial painter for 3 years. Still do the occasional side job with my old boss when I need the extra cash.