Crossword Genius

Best seats here, but a thousand can’t sit down? (10)

Ross

I believe the answer is:

grandstand

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'here but a thousand can't sit down?' is the definition.
Although both the answer and definition are singular nouns, I don't see how they can define each other.

'best seats' is the wordplay.
'best' becomes 'grand' (I can't justify this - if you can you should believe this answer much more).
'seats' becomes 'stand' (stand is a kind of seats).
'grand'+'stand'='GRANDSTAND'

Can you help me to learn more?

(Other definitions for grandstand that I've seen before include "Racecourse construction" , "Main structure for watching sporting events" , "Racecourse building" , "Terraced block of seats commanding the best view of a sporting event" , "Racecourse structure" .)

I've seen this clue in The Times.
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