Question 3
Ana and Beto play the following game on a $2022 \times 2022$ grid. First Ana colors some unit segments on the grid red, so that no cell has two red sides who share a vertex. Next, Beto must draw a blue path that joins two of the four corners of the grid, following the sides of the grid and without using any red segments. If Beto succeeds, he is the winner; otherwise, Ana wins. Who has a winning strategy?