Crossword Genius

Keep batting, mind befuddled, in the game (9)

Ross

I believe the answer is:

badminton

I'm a little stuck... Click here to teach me more about this clue!

'game' is the definition.
(badminton is a kind of game)

'keep batting mind befuddled in the' is the wordplay.
'keep batting' becomes 'baton' (I can't justify this - if you can you should give a lot more credence to this answer).
'befuddled' indicates an anagram.
'in the' means one lot of letters goes inside another.
'mind' with letters rearranged gives 'dmin'.
'baton' placed around 'dmin' is 'BADMINTON'.

Can you help me to learn more?

(Other definitions for badminton that I've seen before include "Seat of the Duke of Beaufort - racket game" , "Court game" , "Game using shuttlecock" , "Game with shuttlecocks" , "Racket game with shuttlecock" .)

I've seen this clue in the Evening Standard.
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