J'utiliserais `tcolorbox`, ce qui permet des sauts de page :
\documentclass{article}
\usepackage[most]{tcolorbox}
\usepackage{fontawesome5}
\newtcolorbox{quack}{
breakable,
enhanced,
arc=0mm,
frame hidden,
interior hidden,
left skip=1cm,
top=0cm,
borderline west={1pt}{0.1cm}{gray},
overlay={\node[anchor=north east,scale=1.5] at ([xshift=-0.1cm,yshift=-0.1cm]frame.north west) {\faChalkboardTeacher}; }}
\usepackage{lipsum}
\begin{document}
\lipsum[1]
\begin{quack}
\lipsum
\end{quack}
\end{document}
![alt text][1]
![alt text][2]
[1]: https://texnique.fr/osqa/upfiles/document-1_cp5A13K.png
[2]: https://texnique.fr/osqa/upfiles/document-2.png
