The attached extension allows my Qt app to run in PiCore16. I'm running without a window manager, so I start Xorg, then start the Qt app. It's running full screen on a Pi3 with the Raspberry Pi display (the old one, 800x480 pixels).
QtLibs.tcz includes all the necessary libraries, plus the entire Qt6 file tree from my Pi5 development machine. There is probably a lot of stuff in there that is not necessary, but it works

. You also need a qt6.conf file in the same directory as your Qt app. There is a template in the tcz, /usr/lib/qt6/qt6.conf.
It's big, 42Mb.
Wait - it's way too big to attach. Message me if you want to look at it.