  We analyze the constraints on four-derivative corrections to 5d
Einstein-Maxwell theory from the black hole Weak Gravity Conjecture (WGC). We
calculate the leading corrections to the extremal mass of asymptotically flat
5d charged solutions as well as 4d Kaluza-Klein compactifications. The WGC
bounds from the latter, interpreted as 4d dyonic black holes, are found to be
strictly stronger. As magnetic graviphoton charge lifts to a NUT-like charge in
5d, we argue that the logic of the WGC should apply to these topological
charges as well and leads to new constraints on purely gravitational theories.
