By Yimou Lee and David Brunnstrom TAIPEI (Reuters) -Chinese and Taiwanese warships played high seas “cat and mouse” on Sunday ahead of the scheduled end of four days of unprecedented Chinese military exercises launched in reaction to a visit to Taiwan by U.S. House Speaker Nancy Pelosi. Pelosi’s visit last week infuriated China, which regards the self-ruled island as its territory and which responded with test launches of ballistic missiles over the island’s capital for the first time and the cutting of some areas of dialogue with Washington. About 10 warships each from China and Taiwan sailed…