Balaam blessed Israel (Numbers 24:10). Why does 13:22 say Israel killed him?

Joshua 13 only records it: "The children of Israel also killed Balaam the son of Beor, the soothsayer, with the sword, among the rest of their slain" (13:22) (tap soothsayer). Numbers tells the same death in almost the same words: "They also killed Balaam the son of Beor with the sword" (Numbers 31:8). Numbers 31:8 gives no reason in the same verse. A few verses later Moses says of the women of Midian: "these caused the children of Israel, through the counsel of Balaam, to commit trespass against the LORD in the matter of Peor, and so the plague was among the congregation of the LORD" (Numbers 31:16). That is the story of Numbers 25, where "Israel joined himself to Baal Peor, and the LORD’s anger burned against Israel" (Numbers 25:3). Later Joshua passes on the LORD's own words about him: "I would not listen to Balaam; therefore he blessed you still" (24:10). And in Revelation, Jesus speaks of "the teaching of Balaam, who taught Balak to throw a stumbling block before the children of Israel" (Revelation 2:14). Numbers 22 to 25 and 31 tell the whole story.