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Program.Clone deep-copied the SubPrograms dictionary but left every SubProgramCall pointing at the source's sub-program, and SubProgramCall.Clone went through the Rotation setter, which re-rotated that shared program to the call's stale angle. Copying a program with hole lead-ins therefore rotated the source's holes, and rotating the copy rotated the source again. Program.Rotate also rotated a shared sub-program once per call, so two identical holes (one deduplicated sub-program) turned twice. Clone now binds calls to one private copy per shared sub-program without re-aligning it, and Rotate turns each distinct sub-program once.