[Feature Request] Auto-sync Claude Code sessions to web

[Matovidlo]

Feature Description
I would like to start claude session to automatically start backgrouding tasks to web so I can anytime continue on web because I need to leave computer sometimes but I have phone with myself almost always so I can continue.

Environment Info

• Platform: linux
• Terminal: kitty
• Version: 2.0.56
• Feedback ID: 49e4aa84-e764-4e45-ab52-b6f8c677d7d1

[github-actions]

Found 3 possible duplicate issues:

1. Conversation continuity between Claude Desktop and Claude Code/Web #10793
2. [Feature Request] Seamless session sharing between Claude Code and Claude Desktop #15881
3. [FEATURE] Bi-directional context sync between Desktop and Terminal sessions #15962

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[Matovidlo]

It seems the same but only my issue contains thumbsup