I’m not even sure Bush’s cousin was the source. He comes off really badly in the tape as well and has had to issue his own apology.
What I’ve found points to the show and NBC: “The tape of Mr. Bush and Mr. Trump published on Friday was unearthed this week by Access Hollywood producers, who were reviewing archives for past interviews with Mr. Trump. NBC News, a corporate cousin of Access Hollywood, also became aware of the tape, and both news outlets began to prepare stories. But The Washington Post also obtained a copy.”
I suppose that may be the case. IDK, just seems like too much of a coincidence that the cousin just happened to be in and aware of the tape. If I recall, isn’t he a producer for Access Hollywood?