[Docker] Install AI Dynamo nightly (#36946)

docker/Dockerfile

@@ -570,6 +570,10 @@ elif [ "${CUDA_VERSION%%.*}" = "13" ]; then \
     python3 -m pip install "cuda-python>=13,<14" ; \
 fi
 
+# Install the latest available AI Dynamo prerelease from NVIDIA's package index.
+RUN --mount=type=cache,target=/root/.cache/pip \
+    python3 -m pip install --pre --extra-index-url https://pypi.nvidia.com/ ai-dynamo
+
 # Add yank script
 COPY --chown=root:root --chmod=755 docker/configs/yank /usr/local/bin/yank