Crossword Genius

Month on a golf course (7)

Ross

I believe the answer is:

augusta

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

'golf course' is the definition.
'augusta' can be an answer for 'course' (I've seen this before). I am unsure of the 'golf' bit.

'month on a' is the wordplay.
'month' becomes 'August' (August is an example).
'on' means one lot of letters go next to another.
'august'+'a'='AUGUSTA'

Can you help me to learn more?

(Other definitions for augusta that I've seen before include "22 [MAINE] 's capital" , "Georgian city, noted for golf tournaments" , "City of Georgia" , "Lady Bracknell" , "Scene of annual US" .)

I've seen this clue in The Sun.
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