The cell likely triggered apoptosis at the G2 Checkpoint.
In the cell cycle, the G2 checkpoint is responsible for ensuring that the DNA has been properly replicated and is undamaged before the cell enters mitosis. Since the cell in question has DNA damage and contains twice the amount of DNA, it would be checked during the G2 phase of the cell cycle. If the DNA damage is detected and deemed irreparable, the cell would initiate apoptosis at this checkpoint to prevent the damaged DNA from being passed on during cell division.