Unified sessions, settings & projects across Desktop, Mobile and CLI

Feature Request

I'd love to have a unified experience across all Claude Code surfaces (Desktop app, Mobile, CLI). Currently, sessions, projects, and some features are isolated per interface.

What I'd like to see

• Sessions: Access and resume the same sessions across Desktop, Mobile, and CLI — not just transfer, but true sync
• Projects: See all projects regardless of which surface they were created in
• Settings & configuration: Already mostly shared (MCP servers, CLAUDE.md, hooks, permissions) — this is great, please keep it that way
• Feature parity: Where technically possible, the same features should be available on all surfaces

Why this matters

Switching between CLI and Desktop (or Mobile) currently means losing context. A unified session and project layer would make it seamless to start work on the CLI and continue on Desktop or Mobile without friction.

Current state

• Settings (MCP, CLAUDE.md, hooks, permissions): shared ✅
• Sessions: isolated per surface ❌
• Project overview: isolated per surface ❌
• Session management (browse, delete, archive): only available on web ❌