What is the value?????

Algebra Level 1

If \( \dfrac{a^2}{b+c} = \dfrac{b^2}{c+a}=\dfrac{c^2}{a+b}=1\), then find the value of \( \dfrac{1}{a+1} + \dfrac{1}{b+1} + \dfrac{1}{c+1} \)

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