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Geometry Level pending

Triangle \(ABC\) has side lengths \(AB=1617\), \(BC=1120\), and \(AC=1967\). Point \(D\) is constructed on the opposite side of line \(AC\) as point \(B\) such that \(AD=1246\) and \(CD=1071\). Compute the distance from \(B\) to the midpoint of segment \(AD\).

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