What is the smallest integer $N$ such that $\left( \sqrt{ x^4 - 3x^2 - 6x +13} - \sqrt{x^4 - x^2 +1 } \right) ^4 < N$, as $x$ ranges over all real values?

Note: There is a strict inequality in the challenge.

**Details and assumptions**

If you think that the expression can take values over 999, input your answer as 999.

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