Despite the many invasions over the centuries, Egypt has never seen the sort of mass migrations which can change the ethnic demographics of a land. Ancient Egyptians were most closely related to modern Egyptians, and have never been racially homogeneous. Skin colour varied between Upper and Lower Egypt, and Nubia, and still does. If you want to know what ancient Egyptians looked like, your best bet is to look at modern Egyptians and northern Sudanese.

The video you linked to starts off talking about the Egyptian nobleman Yuya, from the 18th Dynasty around 1390 BCE. The 18th Dynasty is more than 1700 years from the First Dynasty, which began around 3100 BCE. Think about how the genetic make-up of Britain has changed from the pre-Roman Celts, the Germanic Saxons and Danes, the French Normans, and more. If you did a genetic analysis of King Charles III today, that would tell you nothing about the genetics of the English in 300 CE. (In fact, since "England" derives from the Angles who first invaded around 450 CE, there were no English in Britain in 300 CE.)

(By the way, the yellow hair in the video is because the hair has been discoloured from the embalming process, not because they were blonde.)

The oldest population of ancient Egypt included North African people from the upper and lower Nile, from the Mediterranean, modern Libya, the Middle East and the Arabian peninsula. In modern terms, we call them "People of Colour" (bleagh), a stupid term, but they weren't Caucasian, they weren't "white", nor were they sub-Saharan black (although they do have some sub-Saharan DNA). They certainly weren't European. They were, and still are, Egyptians.

What few royal Egyptian mummies have been DNA tested show that they were most closely related to the modern Berbers, with some sub-Saharan DNA (probably from the Nubians, with whom the royalty frequently intermarried). In other words, North African. The pharaohs of the 25th Dynasty, the so-called "Black Pharoahs" or "Nubian Pharoahs", were originally from the Kingdom of Kush in what today would be northern Sudan, and were probably black. Cleopatra was Greek Macedonian. Egypt has been conquered many times and you cannot generalise from one pharaoh to others a thousand years earlier.

For what little it is worth, in ancient Egyptian paintings, stylised pictures of individuals from many countries are drawn in consistent colours: Libyans are yellow, Nubians are black or dark brown, and Egyptians are red. Men are painted darker than women.