LUCY, the Laboratory of Urbanism, University of Cyprus, involves a practice turn in architectural, and urban design research  to support the urban and territorial commons for spatial justice. The ongoing research addresses the active and transformative agency of space and design practices about constructive conflict transformations. It foregrounds the architecture’s political dimension through its re-engagement with the contemporary urban environment. LUCY investigates methods with which critical architectural practice incorporates creatively political and social issues and seeks a role within a broader system of urban actors – humans and non-humans. Thanks to a transdisciplinary approach, the research allows for entanglements between various material practices such as architecture, urban design and urbanism, ethnography, the arts and serious game design, as well as landscape architecture. Such entanglements are manifested in the means and output of the ongoing lab’s work that creates new relations between pedagogies, actions in public space, advocating, and curating for heterogeneous publics.