Okay, I had a little time to do some checks. In the image, it looks like there are several hair groups that are very thin polygon wise, like the hair going over the top of the head, is just a strip of polygons going across the forehead (or maybe a few depending on the resolution of the cap) and pulled back to cover the head. Think comb over. You can try raising it up even more, but you may never get full coverage. You might have to add more groups.

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