Crossword Genius

Macho man embraces something irrational and dumb (6)

Ross

I believe the answer is:

stupid

I'm a little stuck... Click here to teach me more about this clue!

'dumb' is the definition.
(similar in meaning)

'macho man embraces something irrational' is the wordplay.
I cannot quite understand how this works, but
'man' could be 'stu' and 'stu' is located in the answer.
'irrational' could be 'pi' (an irrational number) and 'pi' is found within the answer.
A single letter 'd' remains which might be clued in a way I don't see.
This explanation may well be incorrect...

'and' is the link.

Can you help me to learn more?

(Other definitions for stupid that I've seen before include "(Seeming to be) lacking intelligence" , "Ass" , "Idiotic" , "Obtuse" , "Lacking in common sense" .)

I've seen this clue in The Guardian.
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