Palindromically disinclined (5)

I believe the answer is:

level

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'disinclined' is the definition.
Both the definition and answer are adjectives. Perhaps they are linked in a way I don't understand?

I cannot understand how the rest of the clue works.

Can you help me to learn more?

(Other definitions for level that I've seen before include "Storey - stage" , "status" , "Palindromically smooth" , "Regular" , "Smooth - sort of crossing" .)

I've seen this clue in The Globe and Mail.

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