We are given a set $P$ of points and a set $L$ of straight lines. At the beginning there are 4 points, no three of which are collinear, and $L=\emptyset$. Two players are taking turns adding one or two lines to $L$, where each of these lines has to pass through at least two of the points in $P$. After that all intersection points of the lines in $L$ are added to $P$, if they are not already part of it. A player wins, if after his turn there are three collinear points from $P$, which lie on a line that isn’t from $L$. Find who of the two players has a winning strategy.