Perfect place to have breakfast in Clare with authentic dish (6,4)

I believe the answer is:

cereal bowl

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'perfect place to have breakfast' is the definition.
I can't tell whether this definition defines the answer.

'clare with authentic dish' is the wordplay.
'clare' becomes 'ce' (I've seen this in other clues).
'with' says to put letters next to each other.
'authentic' becomes 'real' (I've seen this before).
'dish' becomes 'bowl' (bowl is a kind of dish).
'ce'+'real'+'bowl'='CEREAL BOWL'

'in' is the link.

Can you help me to learn more?

I've seen this clue in the Irish Times (Crosaire) and The Irish Times.

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