China's COVID cases rose further on Tuesday, including in the capital Beijing, even as many cities scaled back routine testing after authorities announced measures last week aimed at easing the impact of the country's heavy coronavirus curbs. China is scrambling to limit the damage of its zero-COVID policy nearly three years into the pandemic, as the latest in a spate of dismal economic reports showed retail sales fell in October and factory output grew more slowly than expected. While many residents have expressed guarded optimism after Friday's announcement that some of the stringent COVID policies would be eased, concerns grew…