Most vulgar traits we'd worked on (9)

I believe the answer is:

tawdriest

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'most vulgar' is the definition.
('tawdry' can be a synonym of 'vulgar')

'traits we'd worked on' is the wordplay.
'traits we'd' anagrams to 'TAWDRIEST'.
Though, I am not sure how the anagram is indicated.

Can you help me to learn more?

I've seen this clue in The Times.

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