\DocumentMetadata{tagging = on}
\documentclass{ltx-talk}
\NewEnvironmentCopy{Frame}{frame*}
\usepackage{fancyvrb}
\begin{document}
\begin{Frame}
  \frametitle{Demonstrating the class}
  \begin{Verbatim}[gobble = 4]
    \begin{frame*}
      Some content here
    \end{frame*}
  \end{Verbatim}
\end{Frame}
\end{document}