Supporter of green sport? (3)

I believe the answer is:

tee

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'supporter' is the definition.
(a golf tee acts as a support)

I cannot understand how the remainder of the clue works.

(Other definitions for tee that I've seen before include "supporter on course" , "Part of course" , "Golfing equipment" , "Peg for golfer" , "Starting place for a golfer" .)

I've seen this clue in The Mirror.

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