Take no notice of Italian man with son vanishing (6)

I believe the answer is:

ignore

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'take no notice of' is the definition.
(to take no notice of something is to ignore it)

I don't understand the remainder of the clue.

Can you help me to learn more?

(Other definitions for ignore that I've seen before include "Discount" , "Walk away from" , "Intentionally disregard" , "Cut head off" , "Fail to notice (6)" .)

I've seen this clue in The Times.

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