Beamer - Nested uncover hides instead of watermark

Question

I am preparing a presentation using beamer and there is an old problem I would like to solve.

If I nest two \uncover commands then the content of the inner one is so dim that it appears hidden from the slide until the outer one becomes visible.

I would like to avoid this and having just one level of transparency. Does anybody have something to suggest?

Here is a MWE:

\documentclass{beamer}

\mode<presentation> {
\usetheme{Pittsburgh}
\usecolortheme{crane}
\setbeamercovered{transparent}
}

\usepackage{amsmath,amsthm,amssymb}

\begin{document}
\begin{frame}
    Hello!
    \uncover<2->{
    \begin{theorem}
        Hello world!
        \uncover<3->{Goodbye!}
    \end{theorem}
    }
\end{frame}
\end{document}

PS: I don't think this is a duplicate of this question, because the situation here seems different to me, but I am not an expert.

Answer 1

Simply don't uncover the "Goodbye!" on the first slide:

\documentclass{beamer}

\usetheme{Pittsburgh}
\usecolortheme{crane}
\setbeamercovered{transparent}

\begin{document}
\begin{frame}
    Hello!
    \uncover<2->{
    \begin{theorem}
        Hello world!
        \uncover<1,3->{Goodbye!}
    \end{theorem}
    }
\end{frame}
\end{document}