Can you solve this tricky geometry problem?

Geometry Level pending

ABC is a triangle with angle A= 60 degrees. Circumcirle with center O has a radius of 2cm. Another smaller circle touches the bigger circle and its center is X where X does not lie on BC. OP and OQ are tangents to the smaller circle. Find the radius of the smaller circle (XP).

None of these 4\sqrt{3} - 6 0.599 4\sqrt{3} + 6

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