cmux-fork — Fork Conversation into New Pane

Fork the current Claude Code session into a new cmux pane or workspace, preserving full conversation context.

Language Rules

1. Auto-detect input language → output in the same language
2. Japanese input → Japanese output, use references/fork-guide.ja.md
3. English input → English output, use references/fork-guide.md
4. Explicit override takes priority

Prerequisites

BEFORE forking, verify cmux environment:

echo $CMUX_SOCKET_PATH