Let \( \alpha , \beta \) be the roots of the equations \( x^{2} - \sqrt{6}\,x + 3 = 0 \) such that \( \operatorname{Im}(\alpha) > \operatorname{Im}(\beta) \). Let \( \alpha, \beta \) be integers not divisible by \( 3 \) and \( n \) be a natural number such that \( \dfrac{\alpha^{99}}{\beta} + \alpha^{98} = 3^{n}(a + ib),\; i = \sqrt{-1} \). Then \( n + a + b \) is equal to ______.
