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Well Carthage was founded and settled by phonecians, who are from what's modern day lebanon. And then there are the native peoples of north africa, the berbers. So probably a combination of those two phenotypes.
Just keep in mind that ancient peoples aren't necessarily the same as modern. There's a big difference between the ancient peoples of the levant and modern ones, due to things like slaughtering of native peoples and invasions of arabs etc. There are still trace hints of the past, like how the Assads don't look like your typical middle eastern dunecoons.