Given lie, managed to persuade to trickery (8)

I believe the answer is:

inveigle

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'persuade to trickery' is the definition.
I can't judge whether this definition defines the answer.

'given lie managed' is the wordplay.
'managed' indicates anagramming the letters.
'given'+'lie'='givenlie'
'givenlie' is an anagram of 'INVEIGLE'.

'to' acts as a link.

Can you help me to learn more?

(Other definitions for inveigle that I've seen before include "Coax, sweet-talk" , "Persuade by trickery - given lie (anag)" , "Persuade by flattery" , "Lead on, entice" , "Induce by trick, cajole" .)

I've seen this clue in the Sydney Morning Herald.

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