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Iran and the United States have reached an impasse again over how to end their war while their ceasefire grew increasingly shaky, with the two sides exchanging fire in recent days, ships and Gulf states being targeted, and fighting flaring between Israel and the Lebanese militant group Hezbollah. President Donald Trump said Sunday that Iran’s response to his latest proposal was “TOTALLY UNACCEPTABLE!” Trump will travel to Beijing this week for a rescheduled summit with Chinese President Xi Jinping. But Beijing’s deep economic ties to Iran, as well as trade tensions over tariff threats stretching back to Trump’s first term, could crimp the meeting.

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Prime Minister Keir Starmer has pledged to bring Britain closer to the European Union as he faces calls to step down after poor local election results for his Labour Party. Starmer said Monday he would prove his doubters wrong, tackle big challenges and restore hope. His position is fragile and lawmakers have urged him to announce a departure date. Former Deputy Prime Minister Angela Rayner has criticized his leadership but stopped short of calling for his resignation. Labour's losses reflect political fragmentation in the UK. Starmer hopes to regain momentum with legislative plans being set out Wednesday at the State Opening of Parliament.