Hello can I use GPT name for my app. It is not affiliated to OPEN AI and I Am not using API's of ChatGPT

Can I use GPT name in My app . It’s not using API’S of Chat Gpt or not affiliated to it. Not connected to it

So long as the name itself isn’t purely “GPT” alone, and is something like “SantaGPT”, you should be fine, as GPT is the name of the AI base model, which is public knowledge.

Please note, GPT is actually an acronym for generative pre-trained model, so if you are not using that kind of model specifically (OpenAI branded or not), then I would probably avoid using that acronym.