maximize 3({\dfrac{c^2-3a^2}{6}})^(1/3)-2\sqrt{\dfrac{a^2+b^2+c^2-ab-bc-ca}{3}}maximize 3({\dfrac{c^2-3a^2}{6}})^(1/3)-2\sqrt{\dfrac{a^2+b^2+c^2-ab-bc-ca}{3}}

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