Give extra publicity to the grand finale (3)

I believe the answer is:

add

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'give extra publicity to the grand finale' is the definition.
I can't judge whether this defines the answer.

'publicity to the grand finale' is the wordplay.
'publicity' becomes 'ad' (short for advertisement).
'to' says to put letters next to each other.
'finale' indicates one should take the final letters.
The last letter of 'grand' is 'd'.
'ad'+'d'='ADD'

Can you help me to learn more?

(Other definitions for add that I've seen before include "Count up" , "Sum (numbers)" , "Give more" , "Sum up; say further" , "Total; put together" .)

I've seen this clue in the Evening Standard.

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