No it doesn't and lets not call people names. You can verify this using ChatGPT or anything else. You are mistaken and there are no "branches" happening.
Hey, name-calling like this is not cool on HN. You've been here long enough to know this, and we've asked you repeatedly to observe the guidelines. If you keep this up we'll have to assume you have no intention of using the site as intended and ban the account.
See https://developers.openai.com/cookbook/articles/openai-harmo... and src/openai/types/shared/reasoning_effort.py