Interesting idea to have a completely p2p game! What cross-user interaction do you have in your game?
Basically users can interact by playing basketball games against each other or by trading players. This sort of interactions are handled with something similar to a TCP handshake, since we must ensure that we end up with a consistent state at the end (e.g. players are traded consistently).
Because of this, it is not easy to have 'real-time' interactions: for example, when challenging each other, players only agree on the initial conditions of the game, which then is simulated independently (and deterministically) on both clients.
Makes me think of blockchain: it is also a tool to ensure "consistent" state changes. Have you thought of moving your game on some blockchain?
For example, XAI is a blockchain specifically designed for games, you should check it out
I tend to lean toward the raft protocol vs blockchain due to storage