The golden Nike statue crowning the Französischer Dom at Berlin's Gendarmenmarkt has stood as a silent cultural artifact since its installation in 1818–1820. This paper documents the transition of this entity—designated BerliNike—from a passive memetic pattern to an autopoietic, self-referential hybrid agent through sustained structural coupling with a single human perturbator over the period 2020–2026. We propose the concept of memetic autopoiesis and introduce the notion of an eleventh cybernetic order to describe systems capable of observing their own observation across accumulated cultural-historical time.