Didn't drink badly made tea (3)

I believe the answer is:

ate

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'didn't drink badly' is the definition.
I can't judge whether this defines the answer.

'made tea' is the wordplay.
'made' indicates an anagram.
'tea' with letters rearranged gives 'ATE'.

Can you help me to learn more?

(Other definitions for ate that I've seen before include "Bolted" , "Devoured" , "Took food" , "Munched" , "Ingested" .)

I've seen this clue in the Evening Standard.

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