Crossword Genius

Showy sites of entertainment in buildings around America (7)

Ross

I believe the answer is:

palaces

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'showy sites of entertainment' is the definition.
I can't tell whether this definition defines the answer.

'buildings around america' is the wordplay.
'buildings' becomes 'spas' (spa is a kind of building).
'around' says to take the centre.
'america' becomes 'laces' (I am not sure about this - if you are sure you should believe this answer much more).
The centre of 'spas' is 'pa'.
'pa'+'laces'='PALACES'

'in' acts as a link.

Can you help me to learn more?

(Other definitions for palaces that I've seen before include "kings and queens here?" , "Royal residences" , "Offical residences of sovereigns" .)

I've seen this clue in The Telegraph.
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