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If $$2\sqrt{2}x^{3} - 3\sqrt{3}y^{3} = \left(\sqrt{2}x-\sqrt{3}y\right) \left(Ax^{2}-Bxy+Cy^{2}\right)$$, then the value of $$\sqrt{\left(A^{2}+B^{2}+C^{2}\right)}$$
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