Crossword Genius

Be greedy and thus outstrip? (8)

Ross

I believe the answer is:

overtake

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

'outstrip?' is the definition.
(thesaurus)

'be greedy and thus' is the wordplay.
I cannot really understand how this works, but
'be' could be 'take' (taking is a kind of being) and 'take' is found within the answer.
The remaining letters 'over' is a valid word which might be clued in a way I don't see.
This explanation may well be incorrect...

Can you help me to learn more?

(Other definitions for overtake that I've seen before include "possibly put behind one" , "Pass a car ahead" , "Catch unprepared" , "Leave behind" , "Travel past" .)

I've seen this clue in The Irish News.
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