Usually, it is already stated in their documentation (auth section). If a statement is vague, treat it as a no. It is not worth the risk when they can ban you at any time. For example, ChatGPT allows it, but Claude and Gemini do not.
Maybe I am missing something from the docs of your link, but I unfortunately don't think it actually states anything regarding allowing users to connect and use their Codex quota in third party apps.
Maybe I am missing something from the docs of your link, but I unfortunately don't think it actually states anything regarding allowing users to connect and use their Codex quota in third party apps.