Emit to room not working when client is Safari 15.5

I have try with Chrome and Firefox is working fine that expected.

Describe the bug
I have a game with client is in react/typescript, server is in nodeJs/express/typescript
When I try to emit on specific room with

        socket.to(message.roomId).emit("start_game", { start: false, symbol: "o" });

The client doesn't get the event. So the listener method isn't fired.

  public async onStartGame(socket: Socket, listiner: (options: IStartGame) => void) {
    socket.on("start_game", () => console.log(options)); 
// attempt to get { start: false, symbol: "o" } but is never fired
  }

Notice that socket.emit is working fine.

        socket.emit("start_game", { start: true, symbol: "x" });

To Reproduce

Try to communicate with a server and a client using Safari 15.5

Server
"socket.io": "^4.5.1",

Client
"socket.io-client": "^4.5.1"

Platform:

• on macOS Monterey version 12.4
• Macbook pro

Additional context

• I use socket-controllers librairie that allow me to write decorator for event handling socket-controllers
• The client side
• The server side

Start with the linked client and server repositories and reproduce the room broadcast in Safari 15.5 using the stated socket.io 4.5.1 packages; compare it with the working direct socket.emit path. Trace whether the failure is in room emission or the socket-controllers integration, and consider the issue done when the start_game listener receives the room event in Safari without breaking Chrome or Firefox.