It looked to have brought Singapore's Defence Minister - Dr Ng Eng Hen - to Rockhampton to inspect troops involved in the Singapore Armed Forces Exercise Wallaby 2022 which is currently underway in the nearby Shoalwater Bay Training Area (SWBTA).
At the time of writing, it appears that the Falcon 7X is staying at Rockhampton Airport for the night.
UPDATE! On Wednesday 28 September, A56-002 departed Rockhampton Airport for Canberra.
Photo taken by John Lee ©