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Strip lines now stop at a full-length horizontal cut-off that clears the parts instead of slicing the band beyond it. The desktop dialog and Plan Cutting also propose their own horizontal separator when that band beats the X tail (opt-in for API callers via KeepHorizontalRemnant); a kept X tail beside the band becomes a corner piece whose separator stops there. Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>