I didn't say you can find it, only that we know it exists. The fact that there are a huge number of moves and finding the optimal strategy is so difficult is why we don't know the answer to the OP's question. You can say, "I think it will be a draw," but there is no reason for the rest of us to believe you.OK, then how would you try finding this optimal strategy?
I know how to prove that there are infinite prime numbers.
I mean without some trial and error I don't see how can you find an optimal strategy?