A point \( P \) with coordinates \( (2, 5) \) undergoes a transformation defined by the equations \( x' = 2x - 3 \) and \( y' = y^2 + 1 \). What are the new coordinates of point \( P \) after this transformation, and what is the sum of these new coordinates? Let's think step by step and output the final answer within \boxed{}.
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