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When one's potentially had puddings, as breakfast sometimes served outside (3,5,3)

Ross

I believe the answer is:

all fools day

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'outside' is the definition.
Although both the answer and definition are singular nouns, I can't see how they can define each other.

I don't understand the rest of the clue.

Can you help me to learn more?

(Other definitions for all fools day that I've seen before include "April 1st" , "First of April" , "right now" , "Significant date" .)

I've seen this clue in The Times.
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