can codex plugin capture context like codex desktop mac app?

I noticed that the Codex desktop app has its own startup flow where it discovers and loads repo context files (like AGENTS.md). This plugin bypasses that. It talks to Codex through an app-server protocol and only sends params. Whether Codex's app-server mode still does its own file discovery is an implementation detail of Codex plugin, right?

The reason is because my current workflow is:

1. i write a plan in claude code
2. i go ask codex desktop app to review that plan
3. both claude code and codex desktop app is referencing the same project
4. so both have access to the same files
5. after codex desktop app is done, i take the findings and go back to claudecode to ask it to check if comments are valid and if so, fix the plan based on comments.

I wanted the whole setup to be more autonomous without me copy pasting between the two, so I am trying out this plugin.

If the codex plugin doesn't capture context like the desktop mac app, then I guess it's not the same behavior?

The issue names no files, tests, or entry points. Start by tracing how the plugin sends parameters through the app-server protocol, then compare that behavior with the Codex desktop app's context-file discovery; done means the plugin's context behavior is established and, if needed, matches the requested workflow.