Shouts from the rooftops: 'Pressure on Carlos Cook taking in back road (9)

I believe the answer is:

proclaims

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'shouts from the rooftops 'pressure on carlos cook taking in back road' is the definition.
I can't judge whether this definition defines the answer.

'shouts from the rooftops 'pressure on carlos cook taking in' is the wordplay.
'shouts from the rooftops' becomes 'im' (I am not sure about this - if you are sure you should believe this answer much more).
''pressure' becomes 'p' (abbreviation).
'on' says to put letters next to each other.
'cook' indicates anagramming the letters.
'taking in' indicates putting letters inside.
'carlos' is an anagram of '[carlos]'.
'p'+'[carlos]'='p[carlos]'
'im' put within 'proclas' is 'PROCLAIMS'.

Can you help me to learn more?

(Other definitions for proclaims that I've seen before include "Announces officially" , "Advertises" .)

I've seen this clue in The Irish Times.

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