Possible Clues:

• Game played in Duke of Beaufort's seat
• Stately home with poor-quality china
• It's not good to make money on a game
• Ablution in Germany and China is a game
• There's a shuttle service for a not-so-good good ware
• Bishop surprisingly dominant in game
• Not good being on twenty three, perhaps, in this game
• Duke's estate in which a shuttle service operates?
• Birds fly back and forth in it
• Seat of the Duke of Beaufort - racket game