A part of Watson’s ‘‘brain,’’ located in a room near the mock ‘‘Jeopardy!’’ set.Credit...Danielle Levitt for The New York Times “Toured the Burj in this U.A.E. city. They say it’s the tallest tower in the world; looked over the ledge and lost my lunch.” This is the quintessential sort of clue you hear on the TV game show “Jeopardy!” It’s witty (the clue’s category is “Postcards From the Edge”), de