Crossword Genius

Unprepared commercial for a politician (5)

Ross

I believe the answer is:

adlib

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'unprepared' is the definition.
I know nothing about this answer so I can't judge whether this works.

'commercial for a politician' is the wordplay.
'commercial' becomes 'ad' (abbreviation for advertisement).
'for' says to put letters next to each other.
'a politician' becomes 'lib' ().
'ad'+'lib'='ADLIB'

Can you help me to learn more?

(Other definitions for adlib that I've seen before include "wing it" , "not prepared for speech" .)

I've seen this clue in The Irish Independent.
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