RA-L-PH/BattleShips ? reverse-engineered prompt

Build me a modern Battleship web app where people can jump in and play right away.

I want a home page that lets players start a random match, create a friendly private room with a shareable code, or join a room with a code. The game should have the classic ship placement and turn based attacking, with a clean responsive board that works well on desktop and mobile. It should also support a simple admin system, where an admin can create and manage rooms, change game settings like board size, ship count, and turn timer, and pause or restart a game if needed.

Please include a super admin area too, so I can manage admin accounts and see active rooms. If possible, make the game feel polished with status messages, timers, notifications, and some special abilities when they are enabled. Use the current docs online if you need to, and build it in a way that feels ready to run and test locally.