Former MLB star Manny Ramirez said Tuesday he is ‘‘starting a new beginning’’ after signing a short-term contract to play with the EDA Rhinos in Taiwan’s professional baseball league. The Rhinos said Ramirez, 40, will earn $25,000 a month to appear with the team during this year’s March-November season. Speaking at a news conference in the Rhinos home town of Kaohsiung in southern Taiwan, Ramirez said he felt ‘‘blessed’’ about the opportunity to play in Taiwan, where he will earn about 1/100th of his salary during his MLB heyday. ‘‘I don’t think about the money and contract,’’ he said. ‘‘I just think it is a great opportunity for me and the fans.’’ Ramirez’s arrival in Taiwan is the latest stop in a 22-year career that has seen him morph from a promising hitter in the Cleveland Indians organization to a bona fide star with the Boston Red Sox, and a huge attraction with the Los Angeles Dodgers and the Chicago White Sox. In 2004 he helped lead the Red Sox to their first world title sinc