The United States has determined that Israel has achieved its military objectives against Hezbollah in Lebanon, significantly weakening the group. Reports indicate rising casualties in Gaza due to continued Israeli strikes, with health officials citing numerous deaths. Meanwhile, US mediator Amos Hochstein is pushing for a ceasefire and is set to meet with Israeli Prime Minister Benjamin Netanyahu. The article also highlights international appeals for a ceasefire, including a call from Chinese President Xi Jinping during his visit to Brazil.