STREAM_BROWSER becomes the broadcast *capability* master flag; the live
screen-share state (new ToolContext.broadcasting, passed per turn by the bot)
decides the backend:
- master off -> broadcast disabled, always Gemini
- master on + live on -> on-screen Chrome (visible on the stream)
- master on + live off -> Gemini
context.broadcasting is None outside the voice path (evals, text entry, older
bot) and falls back to the master flag, so current behaviour is unchanged.
This is the brain-side foundation; bot-side wiring (bridge passes broadcast
state, auto-broadcast on voice join, voice on/off toggle) follows.
Specs + docs/llm_contexts.md updated. Covered by
tests/test_web_search_broadcast_routing.py.
Co-Authored-By: Claude Opus 4.7 <noreply@anthropic.com>