Crossword Genius

Sibling gaining promotion with style in NY location (8)

Ross

I believe the answer is:

broadway

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'ny location' is the definition.
Although both the answer and definition are singular nouns, I can't see how they can define each other.

'sibling gaining promotion with style' is the wordplay.
'sibling' becomes 'bro' (I've seen this before).
'gaining' is a charade indicator (letters next to each other).
'promotion' becomes 'ad' (short for advert).
'with style' becomes 'way' (synonyms. I am not sure about the 'with' bit.).
'bro'+'ad'+'way'='BROADWAY'

'in' is the link.

Can you help me to learn more?

(Other definitions for broadway that I've seen before include "Cotswold village" , "that divides Manhattan" , "A bow yard for New York theatre" , "General route" , "New York Theaterland" .)

I've seen this clue in The Times.
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