Or can you not add them? You can’t add them I think.
In that case it would seem the game is literally impossible to win.
Maybe our math is wrong then. Alternatively, reality is not deterministic which is a very interesting concept albeit one which is impossible to prove/disprove - I think you need to ask yourself in you believe in determinism if you want to get an answer to your question.

Personally, I think math is wrong and that reality is still deterministic (i.e. it’s possible to win that game in the long run, just that our mathematical tools are insufficient to verify that claim)