If the derivative of \(G(x) \) is \((x \ln x)^2 \), and \(G(e) = \dfrac{5e^3}{27} - 1 \), find the value of \(G(13) \).

Give your answer to 2 decimal places.

**Clarification**: \(e\) denotes Euler's number, \(e \approx 2.71828\).

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