Anderson Cooper has been burning the candle at both ends — he nodded off while waiting to be called for a trial during jury duty on Tuesday. Globe-sprinting Cooper, who’s been working flat-out on his afternoon talk show and his live CNN “360” program, was seen snoozing under a cap while he sat with the jury pool at Manhattan Supreme Court. A spy told us, “He showed up as required and was working away on his BlackBerry for a while. He had a baseball cap on, and he pulled it over his face and took a 20-minute catnap. The jurors were then called in, he whispered to the judge and was [legally] excused.” Cooper’s rep didn’t get back to us.