Find the integer which is closest to the value of the following expression: $$((7 + \sqrt{48})^{2023} + (7 - \sqrt{48})^{2023})^2 - ((7 + \sqrt{48})^{2023} - (7 - \sqrt{48})^{2023})^2$$
Source: Kyiv City MO 2023 Round 1, Problem 8.1
Tags: algebra, expression
Find the integer which is closest to the value of the following expression: $$((7 + \sqrt{48})^{2023} + (7 - \sqrt{48})^{2023})^2 - ((7 + \sqrt{48})^{2023} - (7 - \sqrt{48})^{2023})^2$$