[Doc] Add AMD partnership blog post and sponsors section

[Xunzhuo]

Add AMD partnership announcement blog post and sponsors section to README.

Changes

• Add new blog post: "AMD × vLLM Semantic Router: Building Trustworthy, Evolvable Mixture-of-Models AI Infrastructure"
• Add AMD logo (amd-vsr.png) to the blog post header
• Add Sponsors section to README.md with AMD logo
• Add AMD logo assets (amd-logo.png, amd-vsr.png)

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[github-actions]

👥 vLLM Semantic Team Notification

The following members have been identified for the changed files in this PR and have been automatically assigned:

📁 Root Directory

Owners: @rootfs, @Xunzhuo
Files changed:

• README.md

📁 website

Owners: @Xunzhuo, @rootfs, @yuluo-yx
Files changed:

• website/blog/2025-12-10-amd.md
• website/static/img/amd-logo.png
• website/static/img/amd-vsr.png

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🎉 Thanks for your contributions!

This comment was automatically generated based on the OWNER files in the repository.