Or anything which is free (at least as in beer) and readily bundled in distro-specific installation packages?
Edit: And Arch packages ollama officially - https://archlinux.org/packages/?sort=&q=llama&maintainer=&fl... - and a few things in the AUR - https://aur.archlinux.org/packages?O=0&K=llama
Running one as a background desktop assistant is whole different animal than calling a Microsoft API.
A search in Fedora yields a single GSoC project[0] limited in scope to NetworkManager and it's not clear if anyone actually is working on that.
If the use case you're interested in is actually having the LLM doing things for you in SaaS applications, that wouldn't need deep integration but, considering Google is yet to deliver a Google Drive client for Linux, I wouldn't hold my breath waiting for a native Linux AI-assisted assistant.
Your best option right now is to interface with the assistants through their web interface and hope they have plugins/extensions to interact with things you want.
Other than that, some people have built prototypes running LLMs locally that talk to things like Home Assistant. But again, no deep desktop integration.
0 - https://docs.fedoraproject.org/en-US/mentored-projects/gsoc/...
My frontend side is very weak so it’s going to be very barebones but contributions are welcome once it’s stable:
it is not distro bundled (yet), but I have it running on my Fedora Linux 39 running on a NUC with 16GB of RAM. Performance is good enough for me.