I hate the vast, vast majority of online discourse on the "race" of the ancient Egyptians. Not only did the modern construct of race not exist back then, but it's been my experience that arguers on both sides of the argument are often full of racist or ethno-nationalistic crap and can't be bothered to see reason.
I do consider ancient Egypt to have been a fundamentally indigenous Northeast African civilization with its primary cultural roots in the predynastic cultures of Upper Egypt (that is, southern Egypt, or the part of Egypt that lies further up the Nile). For that reason, I suspect they would have been darker-skinned on average than they're often portrayed in contemporary media. They certainly would not have looked like Arnold Vosloo, Yul Brynner, or Joel Edgerton, unless of course you count the Macedonian Ptolemies.
When I look at the ancient Egyptian so-called "Table of Nations" from their Book of Gates (see for example this reproduction), I notice the figures representing native Egyptians are a deep reddish or mahogany brown, intermediate in color between the lighter tan peoples of Mediterranean North Africa and the Middle East on the one hand and the nearly ebony-dark Kushites from Sudanese Nubia on the other. I would say the Egyptian figures in that sequence most closely resemble some of the dark-skinned people living in Upper Egypt and northern Sudan today (see this photo of a Egyptian schoolteacher from Luxor, for example), as well as maybe some inhabitants of the larger Northeast African region.
Of course, the color schemes in ancient Egyptian art aren't always realistic and often have symbolism we can only guess at. But, assuming the purpose of the "Table of Nations" sequence is to compare the Egyptians with other people, it seems reasonable to me that the Egyptian figures are meant to represent their population's "median" skin tone or at least how they perceived the median to be.
So, yes, if we were to see many if not most ancient Egyptians today, I do think we would consider them "Black African", at least in the sense of being dark-skinned and native to Africa. They may have not been the exact same kind of "Black African" as the majority of Nigerians or Zambians, but again, "Blackness" has always been a social construct. Remember how 19th century Europeans would apply the word to characterize Indian, Melanesian, and Aboriginal Australian people as well as Africans.
With that said, Egypt would always have benefited from its position within a fertile river valley that linked the African interior with the Mediterranean basin, and I'm sure as its civilization's power and influence expanded over the centuries, it would have attracted immigrants from all directions in addition to the well-documented series of invasions that the region experienced later in time (although none of these invasions would have wiped out and replaced the locals). The people in Egypt today most likely have a heritage that has been diverse for a long time, even if most of them speak Arabic and observe Islam or Christianity as a result of linguistic and cultural shifts.
Unfortunately, it's my understanding that our sample size for ancient Egyptian genetic data is small at the moment and may not be representative of the whole population across time and space. I do know a guy with a background in genetics who has used some genetic software on his computer to analyze some of these genetic samples, including one from predynastic Upper Egypt (link here if you don't mind the technical language he uses). He found many of them would have had quite dark skin in life, and that the predynastic sample's ancestry was almost evenly split between that related to "sub-Saharan" Africans on the one hand and that related to western Eurasian people on the other. Given Egypt may have been the exit point for the original "Out of Africa" migrations, I think it's possible that even the latter type of ancestry could still be African in origin, albeit related to the subset of Africans that left the continent for Eurasia.
So, there, that's what I wanted to get out on this topic as someone who's been an Egyptology fan since we studied ancient Egypt in second grade. I do not like debating people on this topic since I find arguing on the Internet unproductive as well as a severe emotional trigger for my autistic brain. But I hope some like-minded people will appreciate what I have to say at least.
P.S. Ancient Kush is also a cool civilization, as are the many others across pre-colonial Africa. It's not like people of Black African descent need to claim Egypt to validate their heritage.