  In this work, we find new static, spherically symmetric, dyonic, globally
regular exact solutions to $\mathfrak{su}(\infty)$ Einstein-Yang-Mills theory
with a negative cosmological constant $\Lambda$, in the regime that $|\Lambda|$
is very large. In this regime, we also prove that dyonic globally regular
solutions may be uniquely characterised by a countably infinite set of
effective global charges; and that dyon solutions may be distinguished from
dyonic black hole solutions to the same field equations by their ADM masses.
These solutions have potential modelling applications for certain exotic
gravitational objects.
