The telephone lines out of Cairo have been humming. In a series of carefully choreographed calls, Badr Abdelatty, Egypt’s foreign minister, has been shuttling between his Iranian counterpart, Abbas Araghchi, America’s Middle East Envoy, Steve Witkoff, and the head of the U.N.’s nuclear watchdog, all in a bid to pull Iran, America, and Israel back from the brink. Just months ago, Cairo’s influence was at a low-point, overshadowed by the oil-fuelled wealth of the Gulf states. While Pres...