No. Signing in to a ChatGPT account in the cp.dev Console uses a device code: you enter your password and confirm on ChatGPT’s own login page, and Codex Pass never sees the password.
Once the sign-in is complete, it is stored encrypted in the cp.dev Console. Your computer receives only a short-lived access credential, and the Console renews it.
Team administrators can see the ChatGPT email a member signed in with, but not the credentials.
Signing a ChatGPT account out in the Console does not affect your sign-in on the ChatGPT website or on other devices.
The Free and Personal editions need no Codex Pass account and do not use our hosted services. In that case the ChatGPT sign-in stays on your own computer, managed by Codex.