- Expanded the existing entries in docs/environment-variables.md so the override-semantics ('search-only, isolates from main ANTHROPIC_API_KEY / ANTHROPIC_BASE_URL / FOUNDRY_BASE_URL') are spelled out, and added a usage note for enterprise-gateway split routing.
- Surfaced the search-only env vars (ANTHROPIC_SEARCH_API_KEY / ANTHROPIC_SEARCH_BASE_URL / ANTHROPIC_SEARCH_MODEL) in the Anthropic provider section of docs/tools/web_search.md, where users were already looking.
- Added ANTHROPIC_SEARCH_BASE_URL alongside ANTHROPIC_SEARCH_API_KEY in 'omp --help' so the pair shows up together in the CLI env-var summary.
Fixes#1694