Crossword Genius

One helping cops track dope with logic perhaps (6,3)

Ross

I believe the answer is:

police dog

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'one helping cops track' is the definition.
Although both the answer and definition are singular nouns, I can't understand how they can define each other.

'dope with logic perhaps' is the wordplay.
'with' says to put letters next to each other.
'perhaps' is an anagram indicator.
'dope' put after 'logic' is 'logicdope'.
'logicdope' anagrammed gives 'POLICE DOG'.

Can you help me to learn more?

(Other definitions for police dog that I've seen before include "Drug hunter" , "busy helper" , "Force assistant" , "one taking lead in war on crime" , "Officer's co-worker" .)

I've seen this clue in The Hindu.
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