Feature request: Claude Code should be able to read public Claude.ai shared conversations

Problem

When a user shares a public Claude.ai conversation via claude.ai/share/* links, Claude Code cannot fetch the content — the request returns a 403 Forbidden.

This creates unnecessary friction in a very natural workflow:

1. Brainstorm/spec out an idea in Claude.ai
2. Share the conversation link
3. Paste the link into Claude Code to implement it

Currently step 3 fails, forcing the user to manually copy-paste the entire conversation — which can be thousands of words with code blocks, losing formatting and context.

Expected behaviour

Public share links (claude.ai/share/<id>) should be accessible to Claude Code's WebFetch tool (or via a dedicated integration), returning the conversation content in a parseable format.

Why this matters

• Cross-product UX — Claude.ai and Claude Code are both Anthropic products. Users expect seamless flow between them.
• Common workflow — "brainstorm in chat, build in Code" is a natural pattern. The share link is the obvious bridge.
• Minimal effort, high impact — the conversations are already public. This is an access policy/CORS issue, not a privacy concern.

Possible solutions

1. Allow programmatic access to public share links — return parseable HTML/JSON for claude.ai/share/* URLs
2. Dedicated Claude Code integration — a built-in tool that understands share links and fetches conversation data via Anthropic's internal API
3. Export-to-clipboard format — Claude.ai could offer a "Copy for Claude Code" button that formats the conversation as structured markdown