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Let the tangent to the curve x^2 + 2x – ...

Let the tangent to the curve `x^2 + 2x – 4y + 9 = 0` at the point `P(1, 3)` on it meet the y-axis at A. Let the line passing through P and parallel to the line `x – 3y = 6` meet the parabola `y ^2 = 4x` at B. If B lies on the line 2x – 3y = 8, then `(AB)^2` is equal to ________.

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