Exploring OpenAI's deep research API model o4-mini-deep-research

I was reviewing some older PRs and landed this one by Manuel Solorzano adding pricing for o4-mini-deep-research and o3-deep-research to my llm-prices.com site. I realized I hadn't tried those models yet so I decided to give one of them a go. o4-mini-deep-research is significantly cheaper than o3-deep-research - $2/$8 per million for input/output compared to $10/$40 - so I tried that one. These…