Crossword Genius

Potter's vehicle picks up everyone for dance venue (8)

Ross

I believe the answer is:

ballroom

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

'dance venue' is the definition.
(I've seen this before)

'potter's vehicle picks up everyone' is the wordplay.
'potter's vehicle' becomes 'broom' (I can't explain this - if you can you should give a lot more credence to this answer).
'picks up' is an insertion indicator.
'everyone' becomes 'all' (all people).
'broom' placed around 'all' is 'BALLROOM'.

'for' is the link.

Can you help me to learn more?

(Other definitions for ballroom that I've seen before include "Dance hall" , "place associated with steps?" , "potential murder scene on board" , "Dancing venue" , "Place for dance" .)

I've seen this clue in The Times.
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