Wouter

It ships with the CLI, and in 0.144.0 it did not.

The release publishes two kinds of asset. There is a bare codex binary for the architecture, and there is a codex-package-<arch>-<os>.tar.gz that contains a bin/ directory holding both codex and codex-code-mode-host. The Homebrew cask was pointing at the bare binary, so the install produced a working codex with its command runner absent.

So nothing on your machine is broken and reinstalling the same version cannot help. The package you were given is short one file.

The cask was switched over to the package tarball afterwards, which is the actual fix. If you update and ls /opt/homebrew/bin | grep code-mode shows the host binary, you have the corrected cask and the flag below is no longer needed.