[CI Test] Add Scheduled Integration Test

[yewentao256]

Purpose

Set up tests for local node first (Most of the issues recently could be reproduced using a node)

Scheduled to run daily

After this get landed, we can update the schedule in buildkite

Test Plan

Currently we are going to conduct tests below:

• deepep HT + tp 2 + dp 2 + ep + eplb ---- DeepseekV2 lite
• deepep LL + tp 2 + dp 2 + ep + eplb ---- DeepseekV2 lite
• deepep HT + tp 2 + dp 2 ---- Qwen3-30B-A3B-FP8
• deepep LL + tp 2 + dp 2. ---- Qwen3-30B-A3B-FP8

Test

https://buildkite.com/vllm/ci/builds/37001#_ shows that is ready.

[gemini-code-assist]

Code Review

This pull request adds two new scheduled integration tests for DeepSeek V2-Lite and Qwen3-30B models. The changes include new test scripts and updates to the Buildkite pipeline configuration. My review focuses on improving the robustness and reliability of the new test scripts. I've identified a couple of critical issues related to process management and file path handling that could lead to flaky or failing tests in a CI environment. The suggested changes aim to make the scripts safer and more reliable.

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[simon-mo]

Lint passed. Given this only adds optional nightly tests, and verified passing (@yewentao256 plz add links in description) , merging.