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Just wanted to point out that the word Beor occurs two times other than in connection with Baalam.
1. Genesis 36:32 And Bela the son of Beor reigned in Edom: and the name of his city was Dinhabah.
2. I Chron 1:43 Now these are the kings that reigned in the land of Edom before any king reigned over the children of Israel; Bela the son of Beor: and the name of his city was Dinhabah.