"Run brew upgrade codex to update." suggestions is wrong, `brew upgrade codex` doesn't work

What version of Codex is running?

codex-cli 0.46.0

What subscription do you have?

Plus

Which model were you using?

_No response_

What platform is your computer?

_No response_

What issue are you seeing?

I'm told to brew upgrade codex to go from 0.46.0 to 0.50.0 but that doesn't work. So the instructions are incorrect:

❯ codex
╭─────────────────────────────────────────────────╮
│ ✨ Update available! 0.46.0 -> 0.50.0.          │
│                                                 │
│ See full release notes:                         │
│                                                 │
│ https://github.com/openai/codex/releases/latest │
│                                                 │
│ Run brew upgrade codex to update.               │
╰─────────────────────────────────────────────────╯

When I run:

❯ brew upgrade codex
Warning: Treating codex as a formula. For the cask, use homebrew/cask/codex or specify the `--cask` flag. To silence this message, use the `--formula` flag.
Warning: codex 0.46.0 already installed

The instructions should tell the user how to migrate from formula to cask.

What steps can reproduce the bug?

1. Install the brew _formula_ for an outdated version.
2. Run codex

What is the expected behavior?

I'm told how to migrate from formula to cask.

Additional information

macOS