codex - 💡(How to fix) Fix Codex UI shows git branch but not the effective working directory used by agent tool calls

Title: Codex UI shows git branch but not the effective working directory used by agent tool calls

Issue: The Codex UI exposes the current git branch, but it does not clearly show the effective working directory/repo root being used by the agent for each turn or tool call.

Why this matters: The visible terminal prompt can remain on one directory while the agent executes commands with an explicit different workdir. In that case, Ctrl-J or the terminal prompt can show: C:\Users\Richard\source\repos\PhxBiz\Eventryx\Eventryx.AgenticSDKPlugin

while the agent is actually editing/running commands in: C:\Users\Richard\source\repos\PhxBiz\phoenix-sdk-integration-mcp

This creates confusion and risk because branch information is only meaningful relative to a repo/worktree. A user may believe work is happening in one repo when files are actually being created or modified in another.

Expected behavior: Codex should show the effective working directory and git repo root alongside the branch. Ideally it should distinguish:

• Thread default CWD
• Visible terminal prompt CWD
• Last tool-call workdir
• Git repo root
• Current branch

Suggested UI: Active workdir: <absolute path>

Git repo: <absolute repo root>

Branch: <branch name>

Last command workdir: <absolute path>

Impact: This would reduce wrong-repo confusion, improve trust in multi-repo workflows, and make worktree changes easier for users to audit.