OpenAI President Greg Brockman concluded his testimony on Tuesday, where he largely rebutted Elon Musk 's account of the early years of the startup and negotiations that occurred at the company. Brockman testified that he never made any commitments to Musk about the company's corporate structure, and he never heard anyone else make them. He emphasized that OpenAI is still governed by a nonprofit. "This entity remains a nonprofit," Brockman said, referring to the OpenAI foundation. "It is the best-resourced nonprofit in the world."  The trial for Musk's lawsuit against the artificial intelligence company began its second week on Monday. Musk sued OpenAI, Brockman and CEO Sam Altman two years ago, alleging that they violated an obligation to keep the company a nonprofit.…