Apathetic, careless (13)

I believe the answer is:

lackadaisical

I believe this is a double definition.

'apathetic' is the first definition.
(I've seen this before)

'careless' is the second definition.
(I've seen this before)

(Other definitions for lackadaisical that I've seen before include "Languid and ineffectual" , "Carelessly lazy" , "Listless" , "Half-hearted" , "Spiritless" .)

I've seen this clue in The Times.

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