If 2 cot θ = 3, then find the value of \(\frac{\sqrt{13} \sin \theta-3 \tan \theta}{3 \tan \theta+\sqrt{13} \cos \theta}\).

1
\(\frac{1}{\sqrt{13}}\)
2
\(\frac{2}{\sqrt{13}}\)
3
0
4
\(\frac{2}{3}\)

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