Feature Request: Sync projects between Claude Desktop and Claude Code

Summary

Add the ability to sync or import project data (custom instructions, system prompts, and context) between Claude Desktop and Claude Code.

Problem

Currently, Claude Desktop and Claude Code are completely siloed. If you build up project context and instructions in Claude Desktop, there's no way to bring that into Claude Code (or vice versa) without manual copy-pasting. This creates friction when switching between the two tools.

Proposed Solution

• A shared project format that both Claude Desktop and Claude Code can read/write
• An import/export option in Claude Desktop that outputs to a CLAUDE.md or similar file
• Or a sync mechanism (e.g., via Anthropic account) that keeps project instructions in sync across both tools

Use Case

As a user who works across both Claude Desktop (for conversational tasks) and Claude Code (for development), I want my project context to carry over seamlessly so I don't have to manually duplicate setup between tools.