that must be taken so that the sum of these terms exceeds \(99.99\%\) of the sum to infinity of the series.

Find the least number of terms of the geometric series
\[\begin{equation*}
1 + \frac{2}{3} + \left( \frac{2}{3} \right)^2 + \dotsb
\end{equation*}\]

that must be taken so that the sum of these terms exceeds \(99.99\%\) of the sum to infinity of the series.