Is it somehow possible to use `\pause` in the `\note{}` environment?

In the example, so that "item 2" on slide and in notes pop up at the same time?

```
\documentclass{beamer}
\usepackage{pgfpages}
\setbeameroption{show notes on second screen}
\begin{document}
\begin{frame}
\begin{itemize}
    \item item 1 \pause
    \item item 2
\end{itemize}
\note{\begin{itemize}
    \item item 1 \pause
    \item item 2
\end{itemize}}
\end{frame}
\end{document}

```

The \pause command in the notes section doesn't do anything here.

Thanks in advance.