It says in the terms that you can use the example/starter content in your own games - including retail, as long as the game itself is significantly altered from the example to be an unique game.
(which in this case is obvious, since they don’t have an Example chess game)
To getting the required bandwidth of a game- you can use Windows’ “Network Monitor” to see exactly what is used by the program. It will vary by user activity - but all in all, a game like chess uses so little it isn’t worth noting. You are probably consuming vastly more opening this page to read responses than an entire game of chess would use - start to finish.
System Resources used are determined with ~ MemReport -Full and similar debugging tools in the engine.