Crossword Genius

Urge for fizzy drinks, reportedly (4)

Ross

I believe the answer is:

coax

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'urge' is the definition.
(thesaurus)

'drinks reportedly' is the wordplay.
'drinks' becomes 'cokes' (Coke is an example).
'reportedly' shows a homophone (sound like).
'cokes' is a homophone of 'COAX'.

'for fizzy' is the link.
I am not very happy about this link. Some or all of it may be part of another bit of the clue.

Can you help me to learn more?

(Other definitions for coax that I've seen before include "Persuade; type of cable" , "Flatter" , "Get round" , "Wheedle, cajole" , "Gradually persuade (someone)" .)

I've seen this clue in The Guardian.
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