feat: Reverse Engineering OpenAI Deep Research

[new5558]

We are playing with multiple OpenAI models via API to figure out how their deep research API works.

model analyzed: gpt-5, gpt-5-mini, o3, o4-mini, o3-deep-research

[new5558]

[new5558]

Three types of web search

Ref: https://platform.openai.com/docs/guides/tools-web-search?api-mode=responses

Available options for search tool