First player responds by playing the other middle line immediately. This is the third side of a box, so his turn ends immediately. Second player claims the box, but his next move gives up another box, and we see the alternation of boxes again. This response is any two lines in the same cell. Obviously, this gives up that cell.
First player takes it and then plays the middle line on the other side.
Any move by second player gives up another box, then first player gives up a box to second, then second player gives up the last box to first. First player wins 3-1. Even considering analyzing the 3x3 game has my brain spinning, so I will not attempt that now.