Integrate Chatbot ChatGPT or similar into WordPress for property searches

I would like a chatgpt or similar chatbot capable of carrying out searches within a Wordpress site based on the theme https://demo5.wpresidence.net. The user by writing a normal sentence in the chatbot and indicating the characteristics of the property sets the filters as if he were setting them from the theme search bar and the chatboot responds with the link containing the page with the set filters.