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Geometry Level 5

A circle is inscribed in a rhombus \(\text{ABCD}\) with one angle \(\text{60°}\). The distance from the center of the circle to the nearest vertex is equal to \(1\). If \(\text{P}\) is any point of the circle, then \[\text{|PA|² + |PB|² + |PC|² + |PD|²}\] equals

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