WASHINGTON (Reuters) -U.S. House of Representatives Speaker Nancy Pelosi said on Tuesday she will run for a 19th term in office, without saying whether she would seek to remain in her Democratic leadership role. The 81-year-old California lawmaker was the first woman to serve as speaker and had been expected to step down, particularly as her party braces for a possible loss of its majority in the Nov. 8 midterm elections. It was not immediately clear if she would honor an agreement she made to secure an unprecedented second term as speaker after the 2018 election to serve only two additional t…