Where does “bjrwnygꜣt” come from?

bjrwnygꜣt (Egyptian) comes from Ancient Greek Βερενίκη, from Ancient Macedonian Βερενῑ́κη, from Ancient Greek φέρω, from Proto-Hellenic pʰérō, from Proto-Indo-European bʰéreti, from Proto-Indo-European bʰēr- — shiny, light brown.

Ancestry of “bjrwnygꜣt”, step by step

Step	Language	Word	Meaning
1	Ancient Greek	Βερενίκη	a city in Lybia; bringer of victory
2	Ancient Macedonian	Βερενῑ́κη	—
3	Ancient Greek	φέρω	I bring, bear, carry
4	Proto-Hellenic	pʰérō	to bear
5	Proto-Indo-European	bʰéreti	to be carrying
6	Proto-Indo-European	bʰēr-	shiny, light brown

Every word from Proto-Indo-European bʰēr- →Every word from Proto-Indo-European bʰéreti →Every word from Proto-Hellenic pʰérō →