For the non flatpak install I used
sudo apt install libopengl0 libxcb-cursor0 libnss3
followed by the standard Kovid supplied instructions
sudo -v && wget -nv -O- https://download.calibre-ebook.com/linux-installer.sh | sudo sh /dev/stdin
I then had to set the variable QT_QPA_PLATFORM to xcb
QT_QPA_PLATFORM - On Linux set this to wayland to force calibre to use Wayland and xcb to force use of X11.
so
QT_QPA_PLATFORM=xcb calibre
Please note I've only done limited testing in either case.