Feature Request: Integration between Claude Code and Claude Desktop App

Feature Request

Description:
Add the ability to connect Claude Code (CLI) to the Claude desktop app so they can access the same data and share context between sessions.

Use Case:
Users often work across both tools and would benefit from:

• Shared conversation history or context
• Ability to continue a conversation started in one tool within the other
• Synchronized project context and memory

Current Workaround:
Currently requires manual copy/paste of context between tools, or setting up shared MCP servers - neither of which provides a seamless experience.

Proposed Solution:
Some form of sync or integration that allows context/data to flow between Claude Code and Claude Desktop, whether through:

• Shared session state
• Account-level context sync
• A dedicated integration mechanism

This would significantly improve the workflow for users who use both tools regularly.