If the function \(f\left(x\right)=\left{\begin{matrix}\frac{{72}^{x}-{9}^{x}-{8}^{x}+1}{\sqrt{2}-\sqrt{1+\cos x}},x\neq …

If the function
\(f\left(x\right)=\left{\begin{matrix}\frac{{72}^{x}-{9}^{x}-{8}^{x}+1}{\sqrt{2}-\sqrt{1+\cos x}},x\neq 0 \\ a{\log }_{e}2{\log }_{e}3,x=0\end{matrix}\right.\)
is continuous at \(x=0\), then the value of \({a}^{2}\) is equal to

[JEE Main 2024, 4 Apr (Shift 2)]