Hideous Arrangement of Circles

Geometry Level 4

\(ABCD\) is a parallelogram where \(AB=13\) and \(BC=33\). A point \(E\) is taken on \(AD\) such that \(AE=11\). If the inradius of \(\triangle ABE\) is of length \(3\), find the radius of the circle touching \(EB\), \(DC\) and \(BC\).

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