Let \( A = [a_{ij}] \) be a matrix of order \( 3 \times 3 \), with \( a_{ij} = (\sqrt{2})^{\,i+j} \). If the sum of all the elements in the third row of \( A^{2} \) is \( \alpha + \beta \sqrt{2} \), \( \alpha,\beta \in \mathbb{Z} \), then \( \alpha + \beta \) is equal to:
