docs: declare native web search support in Codex examples

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Summary

The Codex examples omit the provider capability needed to expose standalone web search with supported custom-provider setups. Add supports_standalone_web_search = true to all five ordinary codex-lb provider blocks across the English and Chinese READMEs, client setup guide, and downloadable configuration, with a codex-lb >= 1.22.0 note.

Closes #2498

Type of change

• docs: — documentation only

OpenSpec

• Not applicable — docs / CI / chore only

Documents existing endpoint support. The setup explanation links to the existing Responses compatibility specification; no proxy runtime or protocol changes.

Changes

• Keep README edits to one configuration line each; translate the minimum-version comment in the Chinese README.
• Explain the provider capability, live-search mode, and distinction from the experimental feature flag in docs/client-setup.md.
• Preserve all other configuration values, including the separate Daybreak provider, which does not use the ordinary control-route path.

Test plan

• mkdocs build --strict: passed using a temporary environment with the project's mkdocs-material>=9.6 documentation dependency.
• Python tomllib: parsed the TOML snippets and downloadable configuration in all four changed files; verified all five ordinary provider blocks enable search and every other parsed value matches the base revision.
• git diff --check: passed.
• Runtime tests and the full application CI suite were not run for this documentation-only change.

Coordination

#2312 was still open and unmerged when this branch was published. This PR is based on current main and leaves model selections unchanged.

Checklist

• Title follows Conventional Commits.
• Linked the related issue.
• Reviewed simplicity gates P1–P6: this documents an existing Codex client setting; no new server setting, README section, dashboard item, or runtime default.
• CHANGELOG is not edited by hand.

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ℹ️ Recent review info

⚙️ Run configuration

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Plan: Advanced

Run ID: cab0395f-8e35-4546-b97a-8ad5fdb85b75

📥 Commits

Reviewing files that changed from the base of the PR and between 4dcf8f7 and be82dbe.

📒 Files selected for processing (4)

• README.md
• README.zh-CN.md
• docs/client-setup.md
• docs/examples/codex/config.toml

Included review availability: This review used your included allowance. Your plan provides up to 8 included reviews per hour; 7 remain after this review.

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📝 Summary

Summary by CodeRabbit

• Documentation
  • Updated Codex CLI setup examples to enable standalone web search.
  • Added guidance on version and compatibility requirements, plus options for enabling search for a single session or persistently.

Walkthrough

Codex provider examples now enable standalone web search. The setup guide describes the minimum codex-lb version, how to request live search, and the separate experimental feature flag and support requirements.

Changes

Codex Web Search Documentation

Layer / File(s)	Summary
Configure standalone web search docs/client-setup.md, docs/examples/codex/config.toml, README.md, README.zh-CN.md	The provider examples enable standalone web search. The setup guide documents the codex-lb 1.22.0 minimum, the --search and web_search = "live" options, the separate experimental feature flag, and Codex and model support requirements.

Priority: ➖ Normal

Estimated code review effort: 2 (Simple) | ~8 minutes

Change: Other · Severity of issue fixed: Medium

Suggested reviewers: mastertyko

Merge Risk: ⚪ Minimal · up to be82d

This change updates Codex setup examples and guidance without establishing a runtime risk. No concrete issue remains that should block merging.

Architecture Summary

Architecture risk: 🔵 Low · up to be82d

The change affects 3 systems.

Changed systems: docs, README.md, README.zh-CN.md

Architecture concerns
No architecture-level concerns identified.

Review details

Systems and components

• observed — docs (service) was modified; 2 changed files map to changed impact.
• observed — README.md (service) was modified; 1 changed file maps to changed impact.
• observed — README.zh-CN.md (service) was modified; 1 changed file maps to changed impact.

Before / after behavior

• observed — Modified behavior in README.md: The Codex CLI example adds supports_standalone_web_search = true and notes the minimum codex-lb version requirement of 1.22.0.
• observed — Modified behavior in README.zh-CN.md: Codex CLI 配置新增独立网页搜索支持开关，并注明需要 codex-lb ≥ 1.22.0。
• observed — Modified behavior in docs/client-setup.md: The standard Codex provider example adds supports_standalone_web_search = true. New documentation describes the version requirement, the provider capability’s default of false, session and persistent ways to request live search, and the separate experimental feature flag and Codex/model support requirements.
• observed — Modified behavior in docs/client-setup.md: The API-key-authenticated Codex provider example adds supports_standalone_web_search = true, with a codex-lb 1.22.0 minimum noted.

🚥 Pre-merge checks | ✅ 5

✅ Passed checks (5 passed)

Check name	Status	Explanation
Title check	✅ Passed	The title clearly and concisely describes the documentation change to declare native web search support in Codex examples.
Description check	✅ Passed	The description is directly related to the documentation changes and explains the new capability setting, version requirement, supported examples, validation steps, and scope.
Linked Issues check	✅ Passed	Issue #2498 requires the Codex provider examples to declare supports_standalone_web_search = true, explain search-mode selection, distinguish the setting from [features].standalone_web_search, and…
Out of Scope Changes check	✅ Passed	The changed files are documentation and a downloadable Codex configuration example. Each change adds or explains the provider capability required by issue #2498. The Chinese README, authenticated setu…
Docstring Coverage	✅ Passed	No functions found in the changed files to evaluate docstring coverage. Skipping docstring coverage check. Docstring coverage is scoped to functions touched by this diff. Analyzed 0 functions across 0…

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