US Presidential Envoy Amos Hochstein was in Israel to press for de-escalation with Lebanon, after an Israeli official said Hezbollah had fired more than 5,000 projectiles across the border since the start of the deadly Gaza war. Israel and Hezbollah have traded near-daily cross-border fire since the start of Israel’s war in Gaza more than eight months ago, which has killed at least 37,347 Palestinians as of Monday. The Israeli military has killed at least 472 people in Lebanon amid its attacks, most of them fighters, but also civilians and journalists. Meanwhile, Israeli authorities say at lea…