Penthouse-style work situation coveted by ambitious politicians? (4,6)

I believe the answer is:

high office

'coveted by ambitious politicians?' is the definition.
(senior positions within government)

'penthouse-style work situation' is the wordplay.
'penthouse style' becomes 'high' (I can't justify this - if you can you should believe this answer much more).
'work situation' becomes 'office' (place where office workers are situated).
'high'+'office'='HIGH OFFICE'

I've seen this clue in The Guardian.

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