Crossword Genius

Intoxicated by British gambling (6)

Ross

I believe the answer is:

blotto

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

'intoxicated' is the definition.
(similar in meaning)

'british gambling' is the wordplay.
I cannot quite see how this works, but
'british' could be 'b' (abbreviation e.g. in 'BBC') and 'b' is present in the answer.
The remaining letters 'lotto' is a valid word which might be clued in a way I don't see.
This explanation may well be incorrect...

'by' is the link.

Can you help me to learn more?

(Other definitions for blotto that I've seen before include "Drunken" , "wrecked" , "Extremely drunk" , "Tight" , "Cockeyed drunk" .)

I've seen this clue in The Mirror.
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