Agentic systems can be simply the LLM + prompting + tools[1]. LLMs are more than capable (especially chain-of thought models) to breakdown problems into steps, analyze necessary tools to use and then executing the steps in sequence. All of this is done with the model in the driver seat.
I think the system described in the post need a different name. It's a traditional workflow system with an agent operating on individual tasks. Its more rigid in that the workflow is setup ahead of time. Typical agentic systems are largely undefined or defined via prompting. For some use cases this rigidity is a feature.
[1 https://docs.anthropic.com/en/docs/build-with-claude/tool-us...