By Sarah Ritchie and Catherine Morrison Justin Trudeau visited Gov. Gen. Mary Simon this morning and formally resigned as prime minister. Mark Carney will be sworn in as Canada’s 24th prime minister at Rideau Hall at 11 a.m., where he will also reveal his first cabinet. His team is expected to be smaller than Trudeau’s 37-member team, and some current ministers will lose their cabinet positions. They include Jean-Yves Duclos, who was public services and procurement minister and Trudeau’s Quebec lieutenant. The ministers now playing key roles in Canada’s response to U.S. President Donald Trump’s trade war — including Mélanie Joly, François-Philippe Champagne, Dominic LeBlanc and David McGuinty — are expected to be part of Carney’s cabinet. Carney is scheduled to chair a cabinet meeting at 2 p.m. A source…