Different results when use ChatGPT and ChatGPT API

In Chat GPT 4o i can use a prompt which return websearch results. The same prompt in chat GPT API results into a message, that the data is not acutal and recommend to search other sources.

Is it possible the grant web access for the API?

Thank you!

OK, i found some posts reporting the same. What is the recommended way to integration live / web search. I need help finding the right parameters in the API request. Where can i find blueprint for my modification?