Sykar
Arcane
BTW, it's actually not known whether Chess is fully deterministic because white doesn't always win. Despite being a game of perfect information the perfect determinism stretches only to given situations. It's exactly in trying to dodge a harmful and fully deterministic situation that both players create the ebb and flow of the game.
False. Chess is fully deterministic. Who gave you the idea that with the current rules white's advantage is enough to win? Stalemate, positional fortresses and "not-enough-material-to-checkmate" are enough to ensure a draw by best play from both sides.
There is simply no random element in chess if we presume ideal players.
PS: If there was a rule change to stalemate, being either a win or 0,75:0,25 (proposed by E. Lasker), that would change plenty of opening line evals, since suddenly all a and h pawn endings would be won.
Is it though? Just a glance at the wikipedia page and there seems some controversy at least. Also white seems for over a century now to win slightly more than black:
https://en.wikipedia.org/wiki/First-move_advantage_in_chess
Up to 55.4% win percentage for white and never lower than 52%. So at least for the human mind there is a minor advantage for white. Whether this has any bearing for machine play I have not checked upon further but is also ultimately irrelevant to this particular issue.