Breakfast dish for cynical person (4-6,3)

I believe the answer is:

hard-boiled egg

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'breakfast dish' is the definition.
'hard-boiled egg' can be an answer for 'dish' (hard-boiled egg is a kind of dish). I am not certain of the 'breakfast' bit.

'cynical person' is the wordplay.
'cynical' becomes 'hard boiled' (I've seen this before).
'person' becomes 'egg' (as in 'a bad egg').
'hardboiled'+'egg'='HARD-BOILED EGG'

'for' is the link.

Can you help me to learn more?

(Other definitions for hard-boiled egg that I've seen before include "Potential picnic fare" , "Cooked item provided by 1 down" , "Possible picnic item" .)

I've seen this clue in The Daily Express.

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