Appimage version is the best way to get Krita running on Linux with all dependencies properly defined, and also with Qt patched version.
Distro package version can be buggy or not fully functional
Concerning python 3.10, you have to use bulicommander 0.9.1b
This version is compatible with python 3.10 as it will be default python version provided with Krita 5.2
Buli note might need ans update on my side too to bé compatible with python 3.10
Concerning the native implementation of bulinote in Krita, there’s already a feature request for that.
I finally made it as a plugin
In worst case, the plugin is open source, notes format are properly described and detailled in source code comments and are saved inside kra file using krita api
Anybody (with some dev skill) should be able to read it or maintain plugin if something bad happen to me 
Grum999