While Mayor Bloomberg is apparently not bold enough to take on BHB publisher Homer Fink's Bocce/Trivia challenge, he and his staff are busy fressing and fussing during their stay in Brooklyn according to the Brooklyn Paper:
“We stopped for breakfast at the Park Plaza diner across the street from the office. It was pretty good, a little like a diner he likes to go to near his house [on the Upper East Side.]”
However Bloomie and the gang apparently are brown bagging it for lunch saying that they haven't found anywhere to go.