Nim game

You are encouraged to solve this task according to the task description, using any language you may know.
Nim is a simple game where the second player ─── if they know the trick ─── will always win.



The game has only 3 rules:

   start with   12   tokens
   each player takes   1,  2,  or  3   tokens in turn
  the player who takes the last token wins.


To win every time,   the second player simply takes 4 minus the number the first player took.   So if the first player takes 1,   the second takes 3 ─── if the first player takes 2,   the second should take 2 ─── and if the first player takes 3,   the second player will take 1.



Task

Design a simple Nim game where the human player goes first, and the computer always wins. The game should enforce the rules.




n = 12;
While[n > 0,
 c = ChoiceDialog["Current amount = " <> ToString[n] <> "\nHow many do you want to pick?", {1 -> 1, 2 -> 2, 3 -> 3}];
 n -= c;
 ChoiceDialog["Current amount = " <> ToString[n] <> "\nComputer takes " <> ToString[4 - c]];
 n -= (4 - c);
 ]
ChoiceDialog["Current amount = " <> ToString[n] <> "\n You lost!"]