This compiles fine but breaks if tagpdf is loaded.
\RequirePackage{pdfmanagement}
%\RequirePackage{tagpdf}
\documentclass{article}
\usepackage{hyperref}
\textheight=50mm
\title{}
\author{}
\begin{document}
\hsize=40mm
\parindent=0pt
\null\vskip30mm
\showoutput
Some multiline text with a rather long, breaking url \url{https://tex.stackexchange.com/questions/731156/the-bottom-margin-of-bibliography-frame-is-too-narrow}.
\enlargethispage{1sp}
\clearpage
\end{document}
@zauguin if you have an idea ...