Everyone in punt to see cultured show (6)

I believe the answer is:

ballet

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

'cultured show' is the definition.
'ballet' can be an answer for 'show' (thesaurus). I'm unsure of the 'cultured' bit.

'everyone in punt' is the wordplay.
'everyone' becomes 'all' (all people).
'in' indicates putting letters inside.
'punt' becomes 'bet' (I've seen this in other clues).
'all' placed into 'bet' is 'BALLET'.

'to see' is the link.

Can you help me to learn more?

(Other definitions for ballet that I've seen before include "Dance entertainment" , "Story performed to music by dancers" , "Dance art form" , "kind of skirt" , "Eg, Swan Lake" .)

I've seen this clue in The Sun.

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