"Inter(mediate) Spaces" is a modular program and mixed-reality installation asking how AI might be repurposed toward care and connection in an age of disconnection. Two participants begin at opposite ends of a shared room and move through spaces where physical objects remain visible alongside a shifting virtual layer. Conversation and proximity reshape what unfolds as they navigate a living archive built from Living Lab contributions—paired audio interviews, images, and reflections—before meeting in the center.