Heat of conflict, a short month (6)

I believe the answer is:

warmth

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'heat' is the definition.
(I know that warmth is a type of heat)

'conflict a short month' is the wordplay.
'conflict' becomes 'war' (war is a kind of conflict).
'a short month' becomes 'mth' (I am not sure about this - if you are sure you should believe this answer much more).
'war'+'mth'='WARMTH'

'of' is the link.

Can you help me to learn more?

(Other definitions for warmth that I've seen before include "Comfort" , "Ardour" , "Affection, kindness; emotional intensity" , "Heat - fervour - friendliness" , "Feeling" .)

I've seen this clue in The Guardian.

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