Present method that will make them capitulate (7)

I believe the answer is:

giveway

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'will make them capitulate' is the definition.
I don't know anything about this answer so I can't judge whether it can be defined by this definition.

'present method' is the wordplay.
'present' becomes 'give' (synonyms).
'method' becomes 'way' (way of doing something).
'give'+'way'='GIVEWAY'

'that' is the link.

Can you help me to learn more?

I've seen this clue in The Irish Times.

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