  Recently, in [arXiv:2403.04827], it was demonstrated that various regular
black hole metrics can be derived within a theory featuring an infinite number
of higher curvature corrections to General Relativity. Moreover, truncating
this infinite series at the first few orders already yields a reliable
approximation of the observable characteristics of such black holes
[arXiv:2403.07848]. Here, we further establish the existence of another regular
black hole solution, particularly the $D$-dimensional extension of the
Dymnikova black hole, within the equations of motion incorporating an infinite
tower of higher-curvature corrections. This solution is essentially
nonperturbative in the coupling parameter, rendering the action, if it exists,
incapable of being approximated by a finite number of powers of the curvature.
