[Doc] Reorganize performance docs

[ykwd]

Description

• Reorganize performance documentation into performance/mooncake/, performance/sglang/, and performance/vllm/ subdirectories for clearer navigation.
• Rename and retitle key benchmark pages for consistency (e.g. vLLM PD disaggregation, vLLM × Mooncake Store, SGLang HiCache × Mooncake Store).
• Remove legacy vLLM V0/V1 preview benchmark pages (vllm-benchmark-results-v0.2.md, vllm-benchmark-results-v1.md) and update cross-references across design, deployment, and integration guides.

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 the documentation by moving benchmark results into dedicated subdirectories under 'performance' (mooncake, sglang, and vllm) and updating all internal links accordingly. It also removes some legacy benchmark files and cleans up trailing whitespaces. The feedback suggests a minor grammatical correction to capitalize 'if' at the beginning of a sentence in the HiCache integration guide.

Important

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[gemini-code-assist]

Capitalize 'if' to 'If' at the beginning of the sentence to maintain proper grammar and style consistency.

Suggested change

Due to memory fragmentation, allocation failures may occur even when memory usage has not yet reached 100%. The actual threshold depends on the workload. This [benchmark document](https://kvcache-ai.github.io/Mooncake/performance/mooncake/allocator-benchmark-result.html) provides memory allocation efficiency results under different scenarios. if excessive allocation failures are observed, consider lowering this parameter accordingly.

Due to memory fragmentation, allocation failures may occur even when memory usage has not yet reached 100%. The actual threshold depends on the workload. This [benchmark document](https://kvcache-ai.github.io/Mooncake/performance/mooncake/allocator-benchmark-result.html) provides memory allocation efficiency results under different scenarios. If excessive allocation failures are observed, consider lowering this parameter accordingly.