Old Peruvian liquor encapsulates “mind-numbing diversion” (5,5)

'liquor encapsulates mind-numbing diversion' is the definition.
I don't know anything about this answer so I cannot judge whether this works.

'old peruvian' is the wordplay.
I cannot quite see how this works, but
'peruvian' could be 'incan' (I've seen this in another clue) and 'incan' is found in the answer.
The remaining letters 'brady' is a valid word which might be clued in a way I don't understand.
This may be the basis of the clue (or it may be nonsense).

Can you help me to learn more?