Sort of score with which we lost out (6)

I believe the answer is:

lowest

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'sort of score' is the definition.
Both the answer and definition are adjectives. Maybe there's an association between them I don't understand?

'we lost out' is the wordplay.
'out' is an insertion indicator.
'we' put inside 'lost' is 'LOWEST'.

'with which' acts as a link.

Can you help me to learn more?

(Other definitions for lowest that I've seen before include "Given maximum reduction" , "very close to the ground" , "Towels for the most humble" , "Minimum" , "extremely vulgar" .)

I've seen this clue in the Evening Standard.

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