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If $$\left(\frac{1}{1 + \cosec \theta} - \frac{1}{1 - \cosec \theta}\right) \cos \theta = 2, 0^\circ < \theta < 90^\circ$$, then the value of $$\sin^2 \theta + \cot^2 \theta + \sec^2 \theta$$ is:
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