The entire research area of (business) process management has experienced a tremendous push with the advent of process mining, robotic process automation, and predictive process monitoring. While this development is highly appreciated, the current process-agnostic pipelines for process mining, robotic process automation, and predictive process monitoring have several limitations. Taking a system perspective, this keynote elaborates the limitations of process-agnostic automation. Then, it shows how a shift towards process-aware automation and predictive compliance monitoring can be achieved and how process-aware pipelines contribute to overcome the limitations of process-agnostic automation. Finally, research implications with a focus on Petri nets are derived.