I completely forgot I had this ideaIt's ok, but I say make it more simple. You said it was rock paper scissors, but it is a very complicated game of rock paper scissors.
I also think the bonuses for using the right tactic are too high, and also, biremes don't line up 2 deep. They are just there in your harbor, so you would have to add a naval screen where you can choose where to set up your ships. Also, it should not be only in the lighthouse, because then it would be a HUGE advantage to players with a light house instead of Thermal Baths.
I think it would be very cool if you could drag your ships into a formation that you make, and that the attacker can also make an attacking formation, and maybe integrate it with your idea.
But if you want to keep this idea, I just say make it more simple and less bonuses for using the right tactic.
I've begun updated with the changes discussed, i have already done the slashing the advantages one and so that should solve some of your queries. As for biremes not lining up two deep what do you mean? It was a known tactic and ancient greece and if you mean ingame then of course not, it is a new idea which i'm suggesting.
EDIT: Finished updating.