Hi Mihajlo,
I think it will depend on the additional information you have. I mostly use AI for this use case as well. So my suggestion to you is to use a more recent model and to pass more information beyond the company name.
Like if you have the company name and address you can mostly get the correct domain from a quick google search.
If you only have the company name you can at least give it more context on your ICP so the llm can select the most likely domain.