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PRD 0021 chunk 3. The `n` flow (PRD 0020 chunk 2) now routes the first claude session of a freshly-started bottle into the right tmux pane when `\$TMUX` is set — same `_attach_in_tmux` state machine the Enter re-attach uses, just with `resume=False` so claude starts fresh. Outside tmux the existing foreground handoff is unchanged. The compose-up phase (`backend.launch.__enter__`) still drops curses for its stderr output; we restore curses BEFORE spawning into the right pane so the dashboard re-renders alongside the new claude session instead of waiting for attach to return.