The diagram below shows a regular octagram and a regular octagon.

Given that \(AB = \sqrt{2}-1 \text{ cm}\) and the area of \(\triangle EMT\), \([EMT] = \dfrac{ a \sqrt{b} - c }{4} \text{ cm}^2\), where \(a\) , \(b\) and \(c\) are positive integers and \(b\) is square-free , find \(a+b+c\).

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