How did the ancestry of Egyptian populations change over the long span of Dynastic history?

The Old Kingdom, the Middle Kingdom, the New Kingdom, the Late Period, the Ptolemaic Period, the Roman Period — each of these represented a distinct historical era with its own patterns of external contact and internal change.

Did the Fertile Crescent ancestry proportion that appears in NUE001 persist through later periods, or did it change with the major geopolitical shifts of Egyptian history?

The Hyksos period, for example — during which a population of apparent Near Eastern origin ruled northern Egypt during the Second Intermediate Period — almost certainly left genetic traces in the Egyptian population.