Where does “Peredur” come from?

Peredur (Welsh) comes from Welsh ber, from Middle Welsh ber, from Proto-Brythonic *ber, from Proto-Celtic beru, from Proto-Indo-European bʰrewh₁-, from Proto-Indo-European bʰer- — to bear, carry.

Ancestry of “Peredur”, step by step

Step	Language	Word	Meaning
1	Welsh	ber	feminine singular of byr; spear, lance
2	Middle Welsh	ber	spear, lance, pike
3	Proto-Brythonic	*ber	spit
4	Proto-Celtic	beru	spit
5	Proto-Indo-European	bʰrewh₁-	to boil; to brew
6	Proto-Indo-European	bʰer-	to bear, carry

Every word from Proto-Indo-European bʰer- →Every word from Proto-Indo-European bʰrewh₁- →Every word from Proto-Celtic beru →