feat: search_tool (#10657)

**Why We Did This**
- The goal is to reduce MCP tool context pollution by not exposing the
full MCP tool list up front
- It forces an explicit discovery step (`search_tool_bm25`) so the model
narrows tool scope before making MCP calls, which helps relevance and
lowers prompt/tool clutter.

**What It Changed**
- Added a new experimental feature flag `search_tool` in
`core/src/features.rs:90` and `core/src/features.rs:430`.
- Added config/schema support for that flag in
`core/config.schema.json:214` and `core/config.schema.json:1235`.
- Added BM25 dependency (`bm25`) in `Cargo.toml:129` and
`core/Cargo.toml:23`.
- Added new tool handler `search_tool_bm25` in
`core/src/tools/handlers/search_tool_bm25.rs:18`.
- Registered the handler and tool spec in
`core/src/tools/handlers/mod.rs:11` and `core/src/tools/spec.rs:780` and
`core/src/tools/spec.rs:1344`.
- Extended `ToolsConfig` to carry `search_tool` enablement in
`core/src/tools/spec.rs:32` and `core/src/tools/spec.rs:56`.
- Injected dedicated developer instructions for tool-discovery workflow
in `core/src/codex.rs:483` and `core/src/codex.rs:1976`, using
`core/templates/search_tool/developer_instructions.md:1`.
- Added session state to store one-shot selected MCP tools in
`core/src/state/session.rs:27` and `core/src/state/session.rs:131`.
- Added filtering so when feature is enabled, only selected MCP tools
are exposed on the next request (then consumed) in
`core/src/codex.rs:3800` and `core/src/codex.rs:3843`.
- Added E2E suite coverage for
enablement/instructions/hide-until-search/one-turn-selection in
`core/tests/suite/search_tool.rs:72`,
`core/tests/suite/search_tool.rs:109`,
`core/tests/suite/search_tool.rs:147`, and
`core/tests/suite/search_tool.rs:218`.
- Refactored test helper utilities to support config-driven tool
collection in `core/tests/suite/tools.rs:281`.

**Net Behavioral Effect**
- With `search_tool` **off**: existing MCP behavior (tools exposed
normally).
- With `search_tool` **on**: MCP tools start hidden, model must call
`search_tool_bm25`, and only returned `selected_tools` are available for
the next model call.

codex-rs/core/src/features.rs

@@ -87,6 +87,8 @@ pub enum Feature {
     /// Allow the model to request web searches that fetch cached content.
     /// Takes precedence over `WebSearchRequest`.
     WebSearchCached,
+    /// Allow the model to search MCP tools via BM25 before exposing them.
+    SearchTool,
     /// Use the bubblewrap-based Linux sandbox pipeline.
     UseLinuxSandboxBwrap,
     /// Allow the model to request approval and propose exec rules.
@@ -432,6 +434,12 @@ pub const FEATURES: &[FeatureSpec] = &[
         stage: Stage::Deprecated,
         default_enabled: false,
     },
+    FeatureSpec {
+        id: Feature::SearchTool,
+        key: "search_tool",
+        stage: Stage::UnderDevelopment,
+        default_enabled: false,
+    },
     // Experimental program. Rendered in the `/experimental` menu for users.
     FeatureSpec {
         id: Feature::RuntimeMetrics,