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A good place to see the stars come out (5,4)

Ross

I believe the answer is:

stage door

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'a good' is the definition.
Although both the answer and definition are singular nouns, I don't understand how they can define each other.

'place to see the stars come out' is the wordplay.
I cannot really understand how this works, but
'place' could be 'door' (I have seen 'place of entry' mean 'door' so perhaps 'place' could also mean 'door') and 'door' is present in the answer.
'the' could be 't' (the is pronounced as a 't' sound in some dialects) and 't' is found within the answer.
The remaining letters 'sage' is a valid word which might be clued in a way I don't understand.
This explanation may well be incorrect...

Can you help me to learn more?

(Other definitions for stage door that I've seen before include "Artist's entrance" , "Actors' entrance" , "part of theatre" , "Actors' entrance/exit" , "Theatre back entrance" .)

I've seen this clue in The Globe and Mail and The Guardian.
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