Crossword Genius

Badly damaged coach having trouble starting (4)

Ross

I believe the answer is:

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'badly damaged' is the definition.
'bust' can be an answer for 'damaged'. I'm not certain of the 'badly' bit.

'coach having trouble starting' is the wordplay.
'coach' becomes 'bus' (synonyms).
'having' means one lot of letters go next to another.
'starting' says to take the initial letters.
The first letter of 'trouble' is 't'.
'bus'+'t'='BUST'

Can you help me to learn more?

(Other definitions for bust that I've seen before include "Sculptor's piece" , "Houdon's Voltaire" , "Breast - broken" , "Broken; statue" , "reduced to rubble?" .)

I've seen this clue in the Evening Standard.
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