1) The room's time limit is interesting. Each player has up to 10 minutes, plus they are only 'slightly punished' with 100ml of blood if they exceed it. Perhaps the room can be used to stall or trap your opponent for some time, by intentionally delaying your answer?
2) Destroying the terminal causes both players to lose the match is an odd rule. With this game's short time limit, it seems like one of the player's may force a stalemate on purpose if they're pressured enough. I wouldn't be surprised if they threaten to destroy the terminal if they are about to lose.
3) If a player guesses the # of beads correctly, interestingly enough the opponent also learns the correct number of beads. If his partner is near there, perhaps he can tell the partner the answer. I'm also wondering if maybe one of the two players have some sort of special physiology that will let them get injected with blood without any adverse side effects. Baku in particular had a especially shocked face when he heard about the blood injection, perhaps there's something that's related to blood and his weak body? Something like his blood antibody count is low, or he has a weak immune system, which will let him get injected without much issue?
*4) Also, I'm surprised that Suteguma went ahead with this match without inspecting the tower. Would Baku really gamble without having some sort of trap or extra preparation in the tower, given the chance..? I think Baku definitely has something hidden, but given that he didn't know what the game was, it's probably something general purpose, like a wiretap that he loves to use a lot. The question is how prepared Suteguma is? If he is really from Ideal, then they may have been following Baku and his allies ever since he got the L-File, and could have ample time to prepare for this situation.