OpenAI is a 501c3 charity nonprofit, and the OpenAI board under discussion is the board of that charity nonprofit.
OpenAI Global LLC is a for-profit subsidiary of a for-profit subsidiary of OpenAI, both of which are controlled, by their foundational agreements that gie them legal existence, by a different (AFAICT not for-profit but not legally a nonprofit) LLC subsidiary of OpenAI (OpenAI GP LLC.)