[Feature Request] Add read-only access to Claude Desktop conversation history for Claude Code integration

Bug Description
Please add a way for Claude Code to access my Claude Desktop / claude.ai conversations. I do research and design discussions in Desktop, then implement in Claude Code — but the two are completely siloed. Today Claude Code can read local CLI session transcripts under ~/.claude/projects/*.jsonl, yet has no access to Desktop conversations where the actual design thinking happened. Concrete case: I spent an intensive Desktop session designing how to evolve our binary-analysis tool into a code-traversal/CPU-modelling analytics instrument. In Claude Code that reasoning is simply unreachable — we had to reconstruct it from scratch. Read-only search over my own Desktop conversations would close the loop between where I think and where I build.

Environment Info

• Platform: win32
• Terminal: windows-terminal
• Version: 2.1.220
• Feedback ID: c3c1169c-4532-4b17-9608-f848e602aae8