Edan Alexander's release offers 'window of opportunity' for wider hostage deal amid Trump Middle East visit / Hamas to release hostage as part of direct Gaza talks with US / Israel to expand hostilities in Gaza unless hostage talks move ahead -- General Staff chief / Trump's pick for hostage negotiations envoy withdraws nomination but will continue on hostage issues / Trump hostage envoy says 'deal' in which every Hamas hostage freed 'could come together within weeks' / Israel's long history of hostage negotiations - and how it's dealt with them in the past / Pennsylvania hostage-taking and shootout highlight rising violence against U.S. hospital workers / "Toughest negotiations" surrounding Gaza hostage exchange / Ceasefire deal: Hostage body discrepancy and bus bombings fuel instability / Israel and Hamas set for next hostage-prisoner exchange