Old President Trump gets books by English author (6,6)

I believe the answer is:

truman capote

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'author' is the definition.
(US author, 1924-1984)

'old president trump gets books by english' is the wordplay.
'old president' becomes 'truman ' (former US president Harry Truman).
'trump' becomes 'cap' (both can mean to beat or override).
'gets' says to put letters next to each other.
'books by' becomes 'ot' (abbreviation for Old Testament. I am not sure about the 'by' bit.).
'english' becomes 'e' (abbreviation).
'truman'+'cap'+'ot'+'e'='TRUMAN CAPOTE'

Can you help me to learn more?

(Other definitions for truman capote that I've seen before include "US author supplied" , "Author of Breakfast at Tiffany's" .)

I've seen this clue in The Independent.

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