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Geometry Level 4

Let the equation \(x^{3} + y^{3}+ 3xy = 1\) represents the coordinate of one vertex \(A\) and the equation of a side \(BC\) of the triangle \(ABC\). If \(B\) is the orthocenter of the triangle \(ABC\), then the equation of side \(AB\) is \(y = mx + c\). Then find the absolute value of \(4-m - c\).

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