The Tokyo District Court on Friday ordered U.S.-based Zoom Video Communications and its sales agent in Japan to pay a total of about ¥182 million in damages for violating the trademark of Japanese electric musical device developer Zoom Corp. In the lawsuit, the Tokyo-based company claimed that the U.S. firm's logo had violated its trademark and demanded a total of ¥600 million in damages. The court dismissed the plaintiff's request for an injunction against the use of the logo. According to the ruling, the Japanese company registered a logo featuring its name written horizontally in the Roman alphabet as a trademark in 2006. The U.S. firm has used a logo with the same alphabet characters for its videoconferencing service since at least 2016. Japan's Zoom asked Zoom Video Communications to stop using the logo for the videoconferencing service in April 2020, but after the request was rejected, the Japanese firm filed a damages lawsuit in 2021.…