Love Hurts is believed to be a mission from GTA III that was removed from the final release of the game. Given by Darkel, the player would have destroyed the Love Media building with a Dodo to kill Donald Love.
However, it is believed that this mission was removed shortly after the 9/11 terror attacks on New York City in 2001. GTA III's setting of Liberty City is directly based on New York, and the game was released in 2001.
This mission also taught the player how to fly the Dodo; then they would bail out when the plane is near to the building (it is unknown where exactly Claude will land, as he would die of falling from such a great height, but logically, he would have used a parachute) and it would crash and destroy the building. After the removal of this mission, there was no need to fly in the game, so the wings of the Dodo were cut short to make it very difficult to fly.