Worth noting for context that "Anatolia and the Levant" (better known perhaps as the Ancient Near East) also included plenty of darker-skinned folks in that time period, with an appearance that we might nowadays associate with Sub-Saharan Africa - and they were highly integrated in their societies, not just a servile underclass. This is also true of the ancient Mediterranean region as a whole. We're especially sure about this because of surviving pictorial/visual (e.g. from the Minoan civilization in Crete) and textual sources. So our Old-Kingdom Ancient Egyptian could well have looked quite "Sub-Saharan" in appearance, despite not originating anywhere south of present-day Sahara.