Area Triangle 1.3.1

Set by a finite number of points. Players take turns. In one move, the player can connect any two points in a straight line. The line should not intersect other triangles.
The goal of the game:
If the triangle formed as a result of the move, that does not contain other points - the player gets points. The game ends as soon as all the triangles are constructed. The winner is the player who has the most points.