The kinds that can remove tar from a spoilt tapestry? (5)

I believe the answer is:

types

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'the kinds' is the definition.
(type is a kind of kind)

I don't understand the rest of the clue.

(Other definitions for types that I've seen before include "Classes or groups" , "Uses a keyboard; sorts" , "Writes using a keyboard" , "Characters" , "Uses a keyboard to write" .)

I've seen this clue in the Evening Standard.

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