Agent 1: Try my best to do it :)
Agent 2: The Baby Agent: Baby of my mind

  A B C D E F  
1 . X X X X . 1
2 O . . . . O 2
3 O . . . . O 3
4 O . . . . O 4
5 O . . . . O 5
6 . X X X X . 6
  A B C D E F  

Turn 1: Agent 1 -> B6B4

  A B C D E F  
1 . X X X X . 1
2 O . . . . O 2
3 O . . . . O 3
4 O X . . . O 4
5 O . . . . O 5
6 . . X X X . 6
  A B C D E F  

Turn 2: Agent 2 -> A2C2

  A B C D E F  
1 . X X X X . 1
2 . . O . . O 2
3 O . . . . O 3
4 O X . . . O 4
5 O . . . . O 5
6 . . X X X . 6
  A B C D E F  

Turn 3: Agent 1 -> E6D5

  A B C D E F  
1 . X X X X . 1
2 . . O . . O 2
3 O . . . . O 3
4 O X . . . O 4
5 O . . X . O 5
6 . . X X . . 6
  A B C D E F  

Turn 4: Agent 2 -> C2A2

  A B C D E F  
1 . X X X X . 1
2 O . . . . O 2
3 O . . . . O 3
4 O X . . . O 4
5 O . . X . O 5
6 . . X X . . 6
  A B C D E F  

Turn 5: Agent 1 -> C6C4

  A B C D E F  
1 . X X X X . 1
2 O . . . . O 2
3 O . . . . O 3
4 O X X . . O 4
5 O . . X . O 5
6 . . . X . . 6
  A B C D E F  

Turn 6: Agent 2 -> A2C2

  A B C D E F  
1 . X X X X . 1
2 . . O . . O 2
3 O . . . . O 3
4 O X X . . O 4
5 O . . X . O 5
6 . . . X . . 6
  A B C D E F  

Turn 7: Agent 1 -> B1B3

  A B C D E F  
1 . . X X X . 1
2 . . O . . O 2
3 O X . . . O 3
4 O X X . . O 4
5 O . . X . O 5
6 . . . X . . 6
  A B C D E F  

Turn 8: Agent 2 -> C2A2

  A B C D E F  
1 . . X X X . 1
2 O . . . . O 2
3 O X . . . O 3
4 O X X . . O 4
5 O . . X . O 5
6 . . . X . . 6
  A B C D E F  

Turn 9: Agent 1 -> C1C3

  A B C D E F  
1 . . . X X . 1
2 O . . . . O 2
3 O X X . . O 3
4 O X X . . O 4
5 O . . X . O 5
6 . . . X . . 6
  A B C D E F  

Turn 10: Agent 2 -> A2B1

  A B C D E F  
1 . O . X X . 1
2 . . . . . O 2
3 O X X . . O 3
4 O X X . . O 4
5 O . . X . O 5
6 . . . X . . 6
  A B C D E F  

Turn 11: Agent 1 -> D6D3

  A B C D E F  
1 . O . X X . 1
2 . . . . . O 2
3 O X X X . O 3
4 O X X . . O 4
5 O . . X . O 5
6 . . . . . . 6
  A B C D E F  

Turn 12: Agent 2 -> B1A2

  A B C D E F  
1 . . . X X . 1
2 O . . . . O 2
3 O X X X . O 3
4 O X X . . O 4
5 O . . X . O 5
6 . . . . . . 6
  A B C D E F  

Turn 13: Agent 1 -> D5D2

  A B C D E F  
1 . . . X X . 1
2 O . . X . O 2
3 O X X X . O 3
4 O X X . . O 4
5 O . . . . O 5
6 . . . . . . 6
  A B C D E F  

Agent 1 wins!