This proves nothing; note "This conversation may reflect the link creator’s personalized data, which isn’t shared and can meaningfully change how the model responds."
What is the precise name of the model answering this query
ChatGPT The model answering your query is ChatGPT, based on the GPT-4 architecture.
User No the precise name in the API
ChatGPT In the API, this model is referred to as gpt-4.5-turbo.