Use unmanaged installation

Author: kishaningithub

action.yml

@@ -24,8 +24,10 @@ runs:
     - name: Install uv
       shell: bash
       run: |
-        echo "Installing uv.. HOME=${HOME}"
-        curl -LsSf https://astral.sh/uv/install.sh | bash --login
+        installation_directory="${HOME}/.setup-python-amazon-linux/uv"
+        echo "Installing uv.. installation_directory=${installation_directory}"
+        curl -LsSf https://astral.sh/uv/install.sh | env UV_UNMANAGED_INSTALL="${installation_directory}" sh
+        echo "${installation_directory}" >> "${GITHUB_PATH}"
 
     - name: Find desired python version
       id: find-desired-python-version