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Not at all, this is a different thing.

This is a way to let users use the Codex-app to Codex-model interface that the 20$ subscription uses so that other apps can use the OpenAI API without paying per token.

What you are describing is SSO with OpenAI as an identity provider

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I believe the goal of their "SSO with OpenAI" was to allow people to use ChatGPT-adjacent services on 3rd party websites with their OpenAI account after signing in. So similar in result, different in execution I suppose.

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