This'll be hard

Algebra Level 5

\[\large \dfrac{a}{b}+\dfrac{b}{c}+\dfrac{c}{a}+\dfrac{28(ab+bc+ac)}{(a+b+c)^2}\] Let \(a,b\) and \(c\) be positive reals, find the minimum value of the expression above.

Note: You don't have to try \(a=b=c\), because it's not the answer.

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