@catx3 @tack215 So I went back again and noticed a few more things. For example, how Hachina went as far as asking the Queen (through Gakuto) to "look outside. This is the enemy's territory..." in order to get her to see how the ship's space for the containers coincides with the game's playing area, meaning he was manipulating her thoughts even through this simple action. Also, I somehow missed how Gakuto "checked the rules" one more time before he started hitting the ships (idk how I missed this since it was even explicitly said by the Captain and all), so it makes sense how Hachina has been able to gradually inform Gakuto of the Captain's ship placements.
Aa for the miss on the top left...
@tack215 mentioned that there was a change in the translation, and something about a rule hidden in plain sight... The only thing I could think of, would be that there is actually a possibility that even if you figure out the enemy ship's placements and hit that cell, that your attack can still miss. "If your attack hits the ship hidden within that cell" seems very suggestive of it. At first I thought the only reason why the top left shot missed would be because Hachina found a container with weapons there, but the Captain didn't actually place a ship there. However that wouldn't really make sense, since if there were more than 20 containers with smuggled weapons on them the Queen would've noticed and called it out, since her guarantee wouldn't be as valid. She also said "there's something only I, who can see both player's ship placement can realize" or smth, which would support this as well. This would also explain how that top left miss wasn't through "luck, god, but by the Captain's own power", since he was the one who explained the rules and mentioned that rule very subtly. Also, Gakuto was already aiming at the top left before hitting it and the captain was going "miss, miss, miss!" in his head, and if that was truly where one of his ships were placed, then praying for it to miss wouldn't really do much, right? Unless missing on a correct cell was also possible!
That gives the game a bit more depth, and obviously more advantages to the Captain, since only he is aware of this rule (and Kakerou). Also, the reason why they play on the big screen and not the tablet is so the people watching from the camera can see what's going on, further supporting the polygraph theory. Also, why would the Captain make Kaji and Yokoi leave during the setting of the rules, but let them come back for the ship placements? This also supports the polygraph theory. He doesn't want them there to interfere with the rules, or to figure out the hidden rule, or to notice what he may or may not have done to Gakuto during the body check, but he definitely wants them there to witness the ship placement. Otherwise the plant trick wouldn't work! Also! Kaji said that the Captain missed how they were just able to wander around and didn't imprison then, which is what prompted them to leave. This way, once they inevitably do get imprisoned, Gakuto would have no clue and wouldn't be able to figure out how the plant trick works. The order to find Kaji and Yokoi and sit them on the chairs with maybe some other details could be what the guy hiding on the bathroom found. That's about it. I still don't know exactly what the Captain did to Gakuto during the body check, but I think it was definitely something, since he did a classic misdirection by telling him how nice of a chin he had and looking at him straight in the eye, and also they showed a panel of the Queen immediately after, hinting that she noticed. So I think there was something, I just don't know what. Other than that, I think most mysteries have been solved. Although I also don't know what exactly Hachina was planning to do if Kakerou didn't arrive, but I don't think it was so relevant since the cold eye scene was kind of used to cut from Hachina to Gakuto, maybe showing that they're connected since they had the same eyes or whatnot. I'm definitely having a blast reading this! Can't wait for more Hachina shenanigans.