An organization like the CIA, noted for its penchant for acting before reporting, could commit acts independent of military decrees even on Earth, let alone in the Otherworld that lacks international regulation.
Throughout the years of turmoil in the Otherworld, the CIA has bypassed the president and expanded the United States' influence in the Otherworld in its own name.
Since the Otherworld War, successive U.S presidents have publicly proclaimed CIA's operations to be at an uncontrollable brink, yet no one could manage them, only to watch helplessly as they act recklessly in the Otherworld.
Considering Luoer's understanding of the CIA, their actions are not surprising at all. What does come as a surprise, however, is why they are targeting Eve. Is it merely due to her connection to Fu'en?