Supper on island included Italian beer (6)

I believe the answer is:

peroni

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'italian beer' is the definition.
I don't know anything about this answer so I cannot tell whether this works.

'supper on island included' is the wordplay.
'included' indicates the answer is hidden within the clue (I've seen 'include' mean this).
'PERONI' is hidden within 'supper on island'.

Can you help me to learn more?

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

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