build: bump docker base images and install docs to v0.22.0

Update Dockerfiles, quickstart, and installation guides to reference
vLLM v0.22.0 (CUDA 12.9, ROCm 7.2.2) instead of v0.20.0/v0.21.0.

Co-Authored-By: Claude Opus 4.7 <noreply@anthropic.com>

docs/getting_started/quickstart.md

@@ -22,7 +22,7 @@ source .venv/bin/activate
 uv pip install vllm==0.22.0 --torch-backend=auto
 
 # On ROCm
-uv pip install vllm==0.22.0+rocm721 --extra-index-url https://wheels.vllm.ai/rocm/0.22.0/rocm721
+uv pip install vllm==0.22.0+rocm722 --extra-index-url https://wheels.vllm.ai/rocm/0.22.0/rocm722
 
 git clone https://github.com/vllm-project/vllm-omni.git
 cd vllm-omni