The first stage of the tournament "named after Van Kanigem"

Why isn't it counted? Because someone had too much to drink when they were creating the table's algorithm (honestly, I just assume that the computer's turn is outside of the scoring. i.e., when the player clicks to end their turn, the next day is immediately assigned to them.

Regardless. If one player wins cleanly on their turn, and the other wins during the turn transition, does that mean they both performed equally well? Because the player who won during the transition might not have had enough time in a full turn to reach the computer. And the person who created the table took that into account. If you can reach it, attack on your turn. What's the problem? Isn't that logical? Otherwise, the computer is just helping the player who ends their turn in the transition.

And when it starts, a check is performed to see if all the victory conditions have been met, and the mission finale occurs. But already on the next day)? Then why is a live judge needed? They could just send screenshots of the finales, and that would be it...

That's why a judge is needed, to explain this point to the player: what they got according to the table is what they will have :)

2 IronAxe. And when the final battle is won not through auto-combat, but as a result of certain moves, morale/luck (in the 2nd, 3rd, etc., its occurrence is fixed). Should that also be considered a loss for the player? Because they don't have a clear victory... the judge can lose and say "not counted"...

Of course. If the judge can't win the final battle based on morale/luck (I'm not saying that they will succeed right away), then what's the point of them being there? In other words, in this case, will they just believe the player's word? Have you done this before? I think you just recently stated that you check the final battles very specifically. I hope that's true!