Intriguing cartoon is April Fools (14)

I believe the answer is:

conspiratorial

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'intriguing' is the definition.
Although both the answer and definition are adjectives, I don't see how they can define each other.

'cartoon is april fools' is the wordplay.
'fools' indicates an anagram (I've seen this in other clues).
'cartoon'+'is'+'april'='cartoonisapril'
'cartoonisapril' anagrammed gives 'CONSPIRATORIAL'.

Can you help me to learn more?

(Other definitions for conspiratorial that I've seen before include "working in cahoots" , "characteristic of those engaged in plotting" .)

I've seen this clue in The Sunday Times.

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