A little tricky part 3

Algebra Level 4

\[\large \dfrac{bc}{a^3(2b+c)}+\dfrac{ab}{c^3(2a+b)}+\dfrac{ca}{b^3(2c+a)}\] If \(a,b\) and \(c\) are positive reals satisfying \(a+b+c=3abc\), find the minimum value of the expression above.

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