  This paper studies the quantum modifications of the
Reissner-Nordstr\"{o}m-(A)dS black hole within Quantum Einstein Gravity,
coupled to an electromagnetic sector. Quantum effects are introduced on the
level of the improvements of the classical solution, where the originally
constant couplings ($G_0$, $\Lambda_0$, and $\alpha_0$) are promoted to scale
dependent quantities ($G_k$, $\Lambda_k$, and $\alpha_k$). Those running
couplings are calculated in the functional renormalization group approach. A
crucial point of this, so called "improving solutions" procedure is the scale
setting where the arbitrary scale $k$ acquires physical meaning due to a
relation to the coordinate scale $r$. It is proposed to use such scale settings
which are stable after iterative improvements. Using this method one finds that
for those improved solutions, there is no stable remnant and due to the
appearance of a new internal horizon, there is also no necessity to impose a
minimal black hole mass for charged black holes, in order to avoid the the
cosmic censorship hypothesis.
