[docs] conductor docs

[Chase-Rong]

Description

modify conductor docs

Module

• Transfer Engine (mooncake-transfer-engine)
• Mooncake Store (mooncake-store)
• Mooncake EP (mooncake-ep)
• Mooncake PG (mooncake-pg)
• Integration (mooncake-integration)
• P2P Store (mooncake-p2p-store)
• Python Wheel (mooncake-wheel)
• Common (mooncake-common)
• Mooncake RL (mooncake-rl)
• CI/CD
• Docs
• Other

Type of Change

• Bug fix
• New feature
• Refactor
• Breaking change
• Documentation update
• Performance improvement
• Other

How Has This Been Tested?

Test commands:

# Example: bash scripts/run_ci_test.sh

Test results:

• Unit tests pass
• Integration tests pass (if applicable)
• Manual testing done (describe below)

Checklist

• I have performed a self-review of my own code
• I have formatted my code using ./scripts/code_format.sh
• I have run pre-commit run --all-files and all hooks pass
• I have updated the documentation (if applicable)
• I have added tests to prove my changes are effective
• For changes >500 LOC: I have filed an RFC issue

AI Assistance Disclosure

• No AI tools were used
• AI tools were used (specify below)

[gemini-code-assist]

Code Review

This pull request reorganizes and updates the documentation for Mooncake Conductor, including its architecture, HTTP API, usage, and KV events in both English and Chinese. The review feedback highlights a missing navigation link in the English index page and untranslated English paragraphs in the Chinese usage guide, both of which are addressed with actionable code suggestions.

Important

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[gemini-code-assist]

The English toctree list is missing the indexer-api-design reference, which is present in the Chinese version. This causes the HTTP API reference page to be omitted from the Conductor section navigation in English.

Suggested change

	conductor-architecture-design
	usage
	```
	conductor-architecture-design
	usage
	indexer-api-design

[gemini-code-assist]

These paragraphs in the Chinese documentation are untranslated and left in English. They should be translated to Chinese to ensure consistency and completeness.

Suggested change

	查看缓存共享组合和已注册的推理 rank：
	```bash
	curl -sS http://127.0.0.1:13333/global_view
	```
	对应结果中出现 `"engine-a":[0,1]`，说明检查成功。Mooncake 不会作为另一个推理实例出现。收到实时事件后，`prefix_count` 可能增加，但仅凭这个计数无法判断每个块来自哪个缓存位置。
	## 查询
	Mooncake 订阅。在 /services 和 /global_view 中核对配置的种子和派生的根摘要。对于静态配置，订阅会并发启动，因此在两项检查都通过前，请保持产生缓存的流量暂停。
	8. 允许缓存流量，确认 Mooncake 发布端计数增加，并查询一个已知的 token 前缀。共享的 CPU 或 Disk 计数必须出现在兼容的 vLLM 实例下，而不是 Mooncake 注册名称下。
	[Conductor 使用指南](../conductor/usage.md)提供了完整的注册和查询命令。