Earlier quoted context omitted.
Hmm, `mise use -g docker-cli` works for me. `docker compose` is a bit trickier – it gets installed as `docker-cli-plugin-docker-compose`, but docker-cli doesn’t seem to pick it up. I’ve added a symlink as `docker-compose` for the time being. Also using brew for casks, and I think there’s a couple tools I couldn’t install with mise (e.g. pngpaste and zbar for scanning QR codes from screenshots).
There's the rename-exe option in mise.toml to rename the docker compose binary to `docker-compose`. I've used it on some machine, I think. Look it up in the docs, it doesn't take long to wire up.
The default docker-compose definition comes from aqua:docker/compose though, which does not support rename_exe. You have to specify github:docker/compose instead.