\[\large (2x+1)^5(1-3x)^3\] Let \(x\) be a real lies in the interval \(\large\bigg[\frac{-1}{2};\frac{1}{3}\bigg]\), and the maximum value of the expression above can be expressed as \(\large \alpha^{\beta}\gamma^{\delta}\epsilon^{\zeta}\) where \(\alpha ,\gamma ,\epsilon\) are primes. Find the sum of \(\large\alpha +\beta +\gamma +\delta +\epsilon +\zeta\)

*Part of the Straight outta AM-GM

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