[FEATURE] Transfer chat context to Claude Code session ("teleport from chat")

Preflight Checklist

• [x] I have searched existing requests and this feature hasn't been requested yet
• [x] This is a single feature request (not multiple features)

Problem Statement

When I develop ideas, plans, or debug strategies in claude.ai chat, there's no way to bring that context into a Claude Code session. I have to manually copy/paste or re-explain everything. The reverse flow exists (teleport from CC web to CLI), but not chat → CC.

Proposed Solution

A way to export chat context into a Claude Code session. Could be:
"Open in Claude Code" button in claude.ai that generates a context file or launches CC with conversation summary
A command like claude --from-chat <conversation-id>
Export chat as a .md context file that CC can ingest

Alternative Solutions

Currently I manually copy relevant parts of chat into a markdown file and reference it in CC, or re-explain the context. Works but lossy and tedious.

Priority

Medium - Would be very helpful

Feature Category

CLI commands and flags

Use Case Example

I'm discussing architecture/approach with Claude in chat
We arrive at a plan with specific decisions
I want to execute that plan in Claude Code
With this feature: click "Open in CC" or run claude --from-chat xyz
CC starts with full context of what we decided
(this can also work with cowork i think - when i stop discussing and i want actual work done)

Additional Context

_No response_