Hey Paul,
you can simply use
provider.tool_config.get("ValueName")
as you can see in AyxSdkInput tool example, or you could also refer the AyxSdkComplex example for more sophisticated solution. These sample tools are part of ayx_python_sdk package, so you can find them in your workspace's virtual environment eg.: ..\venv\Lib\site-packages\ayx_python_sdk\examples\