If I change the direction horizontally the pinned object is not flipped.
What's the deal?
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I am not sure I understand your issue as the link you posted doesn't work, but you can try Pin+ addon:
construct.net/en/forum/extending-construct-2/addons-29/behavior-pin-123766/page-5
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The object I pinned changed slightly its position on the Y axis once the parent object changed direction. But then I found out the reason: the origin point of the parent object wasn't exactly on the center of its Y axis. Now the problem is solved.