Qualified person argued at random (8)

I believe the answer is:

graduate

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'qualified person' is the definition.
'graduate' can be an answer for 'person' (graduate is a kind of person). I'm unsure of the 'qualified' bit.

'argued at random' is the wordplay.
'random' is an anagram indicator.
'argued'+'at'='arguedat'
'arguedat' anagrammed gives 'GRADUATE'.

Can you help me to learn more?

(Other definitions for graduate that I've seen before include "Person holding university degree" , "University alumnus" , "progress" , "Person with a college degree" , "University type" .)

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