Another shot advocate (7)

I believe the answer is:

booster

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

This might be a double definition.

'another shot' is the first definition.
'booster' can be an answer for 'shot' (thesaurus). I am not certain of the 'another' bit.

'advocate' is the second definition.
(booster is a kind of advocate)

Can you help me to learn more?

(Other definitions for booster that I've seen before include "Additional dose that makes sure the first was effective" , "Space rocket's first stage" , "Supplementary vaccine dose" , "Additional strengthening dose" , "Rocket stage; vaccine" .)

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

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