The Middle East's latest peace deal just got a peace deal of its own. Israel and Hezbollah agreed Friday to halt fighting in southern Lebanon after days of escalating clashes threatened to derail the fragile US-Iran peace process, reducing the risk that the first major test of the U.S.-Iran agreement would turn into its first major failure. Negotiations between Washington and Tehran are supposed to begin under a 60-day framework agreement designed to end the war, reopen the Strait of Hormuz, and eventually restore millions of barrels per day of…