Do i need App Groups entitlement for a cross-platform Game Center game?

I have a Game Center game with two different entries in App Store Connect (i.e. two different Apps with different Bundle IDs, one for iOS and macOS). I want the game to handle multiplayer across both platforms. Do I need the "App Groups" entitlement for this? Or is it sufficient if both are listed in App Store Connect under App Information / Multiplayer Compatibility?