The inequality:

\[a\le \frac { { x }^{ 4 }-2{ x }^{ 2 }+3 }{ { ({ x }^{ 2 }+1) }^{ 2 } } \le b\]

is always true for any real number \(x.\) If \(m\) represents the maximum possible value of \(a,\) and \(n\) represents the minimum possible value of \(b,\) what is the value of \(mn?\)

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