Dubai’s spire of Mission Impossible sets bar !

The crew of the latest Mission: Impossible will have at least one tall task: filming shots involving the world’s highest building.

The filmmakers are being tightlipped about plot details and where exactly they plan to shoot in Dubai. But star Tom Cruise and producer Bryan Burk did let slip Thursday that the fourth installment of the big screen series will feature scenes with the Mideast city-state’s more than half-mile-high (828-meter-high) Burj Khalifa.

“I’ll be spending many days, many hours on the side of this building,” Cruise told The Associated Press at the base of the silvery spire. “I can’t…