Hideous Arrangement of Circles

Geometry Level 4

ABCDABCD is a parallelogram where AB=13AB=13 and BC=33BC=33. A point EE is taken on ADAD such that AE=11AE=11. If the inradius of ABE\triangle ABE is of length 33, find the radius of the circle touching EBEB, DCDC and BCBC.

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