Bounding exotic top decays inclusively at the FCC-ee

Since its discovery, the top quark has never been produced and studied in an environment as clean as that predicted for $e^+e^-$ collisions at future colliders. Details of the top quark's properties, completely unattainable in hadronic collisions, can be analyzed via lepton collisions. New strategies for analyzing the physics of the top quark can, therefore, be developed in such a spectacularly clean environment. Here we focus on the possibility of inclusively measuring exotic excesses in the top decay width by studying the direct production of $t\bar t$ at the FCC-$ee$, thus establishing model-independent limits for rare decays branching fractions of the top quark.