Crossword Genius

Eats badly so as to glut (4)

Ross

I believe the answer is:

sate

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'to glut' is the definition.
(I've seen this before)

'eats badly' is the wordplay.
'badly' indicates an anagram.
'eats' anagrammed gives 'SATE'.

'so as' is the link.
I am not very happy about this link. Some or all of it may be part of another bit of the clue.

Can you help me to learn more?

(Other definitions for sate that I've seen before include "Satisfy completely" , "Supply too much" , "Glut" , "Satisfy - surfeit" , "Fill to satisfaction" .)

I've seen this clue in the Evening Standard.
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