What must be obtained after a point out has been approved?

After a point out has been approved, obtaining approval from the receiving controller for any path changes is essential because this ensures that all controllers involved have a mutual understanding of the flight's trajectory. When a point out occurs, it typically means that one controller is informing another about an aircraft that may affect their airspace, and any adjustments to the flight path must be coordinated. This collaboration is vital for maintaining safety and efficiency within the airspace, as changes to an aircraft's route might have implications for other flights.

In this context, communication between controllers is key to ensuring that the air traffic system operates smoothly and safely. Other options do not relate directly to the immediate responsibilities of air traffic controllers regarding situational awareness and coordination after a point out has been executed. For instance, clearance from the flight supervisor or confirmation from the controlling agency, while important in other contexts, does not focus on the real-time coordination needed after a point out. Likewise, permission from the pilot would address a different aspect of flight operations that isn't central to the immediate coordination between controllers.