Senseless British game (6)

I believe the answer is:

blotto

'senseless' is the definition.
(both can mean drunk)

'british game' is the wordplay.
'british' becomes 'b' (abbreviation e.g. in 'BBC').
'game' becomes 'lotto' (lotto is a kind of game).
'b'+'lotto'='BLOTTO'

(Other definitions for blotto that I've seen before include "To bolt away slangily drunk" , "Drunken" , "As one plastered" , "Slangily drunk - ready to bolt" , "Dead drunk" .)

I've seen this clue in The Times.

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