The position is

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

                                      4, 5

                      We will only prove it for column, 4

         Red can win in , 2, moves by putting its piece(1) in column, 4

                              leading to position

0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 2, 0, 0, 0, 0, 1
0, 1, 0, 0, 0, 0, 2
1, 1, 1, 0, 0, 2, 2
2, 1, 1, 1, 0, 2, 2
                  This is a double-or-nothing in columns, 4, 5