Sweaty but without the odd style (3)

I believe the answer is:

way

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'style' is the definition.
(I know that style can be written as way)

I can't explain the remainder of the clue.

(Other definitions for way that I've seen before include "'Manner, mode (3)'" , "Manner; road" , "Method; route" , "Street" , "Route; direction" .)

I've seen this clue in the Sydney Morning Herald.

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