How does one integrate critic agent to a Codex/Claude?

I just say something like "spawn an agent to review your plan" or something to that effect. "Red/green TDD" is apparently the nomenclature: https://simonwillison.net/guides/agentic-engineering-pattern...

I've also found it to be better to ask the LLM to come up with several ideas and then spawn additional agents to evaluate each approach individually.

I think the general problem is that context cuts both ways, and the LLM has no idea what is "important". It's easier to make sure your context doesn't contain pink elephants than it is to tell it to forget about the pink elephants.

You can just say spawn an agent as the sibling says. I didn't find that reliable enough, so I have a slightly more complicated setup. First agent has no permissions except spawning agents and reading from a single directory. It spawns the planner to generate the plan, then either feeds it to the critic and either spawns executors or re-runs the planner with critic feedback. The planner can read and write. The critic agent can only read the input and outputs accept/reject with reason.

This is still sometimes flaky because of the infrastructure around it and ideally you'd replace the first agent with real code, but it's an improvement despite the cost.