Show git branch + dirty state in claude.ai/code session bar

Summary

The session bar in claude.ai/code currently shows only client mode (Local) + working directory (folder name). Claude Code CLI already exposes git context via the statusLine config — would love that to surface in the web/desktop UI too.

What I'm seeing

When working across multiple feature branches (rebase chains, stacked PRs), I lose track of which branch I'm currently on. Asking the assistant git branch --show-current every few turns adds friction.

Today the same info is already rendered by the CLI's statusLine.command (configured in ~/.claude/settings.json) — but the web UI ignores it. My CLI statusline shows:

 Opus 4.7 1M │  pageshell │  chore/doc-freshness-blocking* │ $0.00 / R$0.00

But claude.ai/code only shows [Local] [ps] in the same screen real estate.

What would help

When the working dir is a git repo, the session bar should show:

• Current branch name (e.g. chore/doc-freshness-blocking)
• Dirty indicator (* or count of uncommitted changes) when there are local changes
• Ahead/behind arrows (↑N ↓M) when the branch is diverged from upstream

Implementation options

1. Render the existing CLI statusLine output in the web bar — already configured by users, parity with terminal experience
2. Add native git widgets equivalent to what the CLI script provides — own implementation in the web UI

Either works. Just need the info to actually be visible.

Why this matters

Over a single session I switched branches 5+ times while juggling 5 related PRs. Each context switch the agent has to confirm where it is, and so do I. Having it always-visible in the bar removes a recurring friction point.

Environment

• Client: claude.ai/code (web)
• OS: macOS
• Project: typical multi-branch git repo