About use the terms “ChatGPT” and “OpenAI”


I’m an iPhone app developer.
This time, we have developed an application using the ChatGPT API, and it has been reviewed by the AppStore.
In it, we use the terms “ChatGPT” and “OpenAI”.
The Apple jury asked me to prove that I was allowed the use of the word because users of the app would mistake it for your product.
Are there any URLs or sentences that state that using the word is fine in this regard?
Also, if it is necessary to write “registered trademark” when using it, please tell me how to write it.

Thank you.

Official brand guidelines here:

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Please have a look Received two notices about my trademark applications