Used a relay or CC Switch with Codex? Switch back to the ChatGPT sign-in

Please switch Codex on this computer back to signing in with my official ChatGPT account. I used a relay or CC Switch before and want the official setup back. Don't reinstall Codex, and don't delete my chats, skills or other settings.

Work in this order, and tell me what you will change before each change:

1. If CC Switch or a similar switcher is running, remind me to quit it so it doesn't write the settings back.
2. Find the Codex folder: the folder in the CODEX_HOME environment variable; if it isn't set, %USERPROFILE%\.codex on Windows and ~/.codex on macOS and Linux.
3. Back up config.toml and auth.json in that folder by copying each with .bak added to the name.
4. Edit config.toml and remove only the third-party API settings, leaving everything else as it is:
   - top-level model_provider, openai_base_url and chatgpt_base_url
   - every [model_providers.<name>] table
   - forced_login_method = "api"
   - model_provider inside each [profiles.<name>]; if the top-level profile points at such a profile, remove that line too
   - model, if it names a relay's own model rather than an OpenAI model, so Codex uses its default model
5. Check user and system environment variables for OPENAI_API_KEY, OPENAI_BASE_URL, OPENAI_API_BASE, CODEX_API_KEY and CODEX_ACCESS_TOKEN. List any you find and remove them once I confirm. On Windows also check the PowerShell profile ($PROFILE); on macOS and Linux check ~/.zshrc, ~/.bashrc and ~/.profile.
6. If the codex command runs, run codex logout; otherwise delete auth.json in the Codex folder.
7. Tell me what you changed and where the backups are. Then remind me to quit Codex and the ChatGPT desktop app completely, reopen them, sign in with my ChatGPT account (codex login on the command line), and run codex login status, which should say I'm logged in with ChatGPT.