Find the value of the following expression:
$$\frac{1\frac{2}{3} \div \frac{5}{6} \times 6 + \frac{4}{5} \times \frac{1}{2} + \frac{2}{3}}{2-\left[1\frac{1}{3}\times\left(-\frac{3}{5}\right)-6\left\{\frac{3}{5}-\left(3-\frac{3}{10}\right)\right\}\right]}$$
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