  Mesoscopic conductance fluctuations are a ubiquitous signature of
phase-coherent transport in small conductors, exhibiting universal character
independent of system details. In this work, however, we demonstrate a
pronounced breakdown of this universality, due to the interplay of local and
remote phenomena in transport. Our experiments are performed in a
graphene-based interaction-detection geometry, in which an artificial magnetic
texture is induced in the graphene layer by covering a portion of it with a
micromagnet. When probing conduction at some distance from this region, the
strong influence of remote factors is manifested through the appearance of
giant conductance fluctuations, with amplitude much larger than $e^2/h$. This
violation of one of the fundamental tenets of mesoscopic physics dramatically
demonstrates how local considerations can be overwhelmed by remote signatures
in phase-coherent conductors
