> In theory, wouldn't the player who takes the first move have a tiny tiny edge? Or is the second mover always able to guarantee a draw if they play perfectly?

> In theory, wouldn't the player who takes the first move have a tiny tiny edge? Or is the second mover always able to guarantee a draw if they play perfectly? White cannot have a tiny tiny edge against perfect play. Either it is possible to force a win against perfect play, or it's not. So white is either winning or the game is a draw (or black is able to force a win against white's perfect play, but that's a whole different level of unlikely). When talking about perfect play, terms like "tiny edge" lose their meaning.