Don’t believe everything you read. A few weeks ago, the Associated Press reported that Bill Belichick ran the Nashville Country Music Half Marathon, finishing the 13.1-mile route in a respectable 2:36:46. That much was true. But the AP also said the Patriots head coach had crossed the finish line with Linda Holliday, whom the wire service described as his “fiancee.” Wait, the Hooded One is getting hitched again? No, he isn’t, at least not any time soon. “Linda has a ring on her finger, but she’s not engaged and Bill didn’t propose to her,” a friend of Holliday’s told us Tuesday. “The press was just speculating. They’re not engaged and I don’t think it will happen.” Belichick, who turned 62 last month, was previously married to Debby Clarke, with whom he had three children. They divorced in 2006. Holliday has been Belichick’s girlfriend for the past several years, accompanying the coach to social events when he’s not busy with his day job.