Old gangster turned into evil political icon (4,6)

I believe the answer is:

oval office

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'political icon' is the definition.
I know nothing about this answer so I can't tell whether this works.

'old gangster turned into evil' is the wordplay.
'old' becomes 'o' (abbreviation).
'gangster' becomes 'al' (Al Capone).
'turned' becomes 'off' (synonyms).
'into' is an insertion indicator.
'evil' becomes 'vice' (vice is a kind of evil).
'al'+'off'='aloff'
'aloff' going within 'vice' is 'valoffice'.
'o'+'valoffice'='OVAL OFFICE'

Can you help me to learn more?

(Other definitions for oval office that I've seen before include "room for president" , "US president's workplace" , "US presidential room" , "Where US presidents have their desk" .)

I've seen this clue in The Independent.

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