The position is

0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 1, 0, 0, 2
0, 0, 0, 2, 0, 0, 2
0, 0, 1, 1, 0, 0, 1
1, 1, 2, 1, 2, 2, 2
          Red can win in , 2, moves by putting its piece(1) in columns

                                      2, 5

                      We will only prove it for column, 2

         Red can win in , 2, moves by putting its piece(1) in column, 2

                              leading to position

0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 1, 0, 0, 2
0, 0, 0, 2, 0, 0, 2
0, 1, 1, 1, 0, 0, 1
1, 1, 2, 1, 2, 2, 2
                    This is a multiple-or-nothing in columns

                                    1, 3, 5