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Ready! :)

See the "To consider" section for some things to discuss/consider.

1. I added the configuation file (.mdformat.toml) because it makes it easier to run mdformat in various places with the same config.

It is fine for now. I thought mdformat supports a config file argument to move it to .github/workflows/config/ but it doesn't.

I wanted to add mdformat to the Dockerfile, unfortunately, --exclude requires Python 3.13and themkdocs-materialimage still uses Python 3.11. It could be changed to though if you think that would be a better experience as well (either by usinguvto runmdformat` or changing the base image).
It would then also make it possible to add it to the Makefile.

We could improve Dockerfile and build mkdocs-material ourselves later, feel free.

2. I enabled --compact-tables to avoid sweeping formatting changes in the tables but we could remove that.
3. It is also possible to format code blocks. I tried it out with the mkdocs-beautysh for shell scripts and mkdocs-config for TOML, JSON, and YAML files. Shell scripts didn't fully "work" due to the comments in multiline arguments. It would require a trailing slash at the end of those comments to avoid indentation changes in the next line. Via beautysh it helped find two missing trailing slashes :)

It looks fine to me for now.