None of the current-generation Anthropic-direct entries in `model_prices_and_context_window.json` carry `"supports_web_search": true`, despite Anthropic's web search tool (`web_search_20250305`) working on all of them. Confirmed missing on (checked directly against `main` as of 2026-07-19):

- `claude-sonnet-4-20250514` - `claude-sonnet-4-5` - `claude-sonnet-4-6` - `claude-sonnet-5` (added in #31740) - `claude-opus-4-1` - `claude-opus-4-8` - `claude-fable-5` - `claude-3-7-sonnet-20250219` — notably, this one is explicitly listed on the [Web Search docs page](https://docs.litellm.ai/docs/completion/web_search) as an Anthropic model that supports web search, yet the registry entry itself doesn't have the flag. So the docs and the registry are already out of sync for an existing, non-preview model.

All of the above entries do have `search_context_cost_per_query` set (the billing metadata for the tool), so the tool-use path itself works — but `litellm.supports_web_search(model=...)` returns `False` for all of them, and Router-level `filter_web_search_deployments` will incorrectly exclude these deployments from web-search-tagged requests.

**Repro:** ```python import litellm for m in […