Problem
Holiday Contest 2025 - Guts Round - Set 4 Problem 2
In \triangle ABC with circumcircle \omega and circumcenter O, we have \angle A = 60^\circ. Let the angle bisector of angle A intersect \omega again at point D and let line AO intersect \omega again at point E. Given that BE=DE=3-\sqrt{3}, find [ABEC].
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