What is the recommended newest version of python 3?

I just got the notice that python 3.9 is going to lose support soon, I think at the end of Oct '25, and I'd rather not reinstall using a new image.
Currently using Rasperry Pi Zero 2 W, with OctoPI, Debian 11 - bullseye.
and Python 3.9.2

What should this be because this post used 3.11.9
but is that just an arbitrary choice or what is the best one?

Use the latest supported version.

At the time of writing this is Python 3.13.

For the record, Python 3.9 will become EOL by Oct 31st 2025. OctoPrint will continue to support it throughout the lifecyle of the not even release 1.12.x version. OctoPrint 1.13.0, which will drop support for Python 3.9, by current plans won't release until late 2026 or early 2027.

edit

I've also added a table to the FAQ entry about this: