  This paper serves as an extended version of our previous letter
arXiv:2212.03808 [hep-th]. In this paper, we investigate the non-perturbative
and non-singular black hole solutions derived from complete $\alpha^{\prime}$
corrected Hohm-Zwiebach action in different gauges (coordinate systems). In
addition to the results that we obtained in the previous letter, we present the
following additional results in this paper: 1) The regular black hole solutions
in different gauges can be mutually transformed. 2) The $\alpha^{\prime}$
corrections do not introduce any extra singularities beyond the event horizon.
3) The event horizon remains unaffected by the $\alpha^{\prime}$ corrections.
The results of this paper provide valuable illustrations for further
investigation of more complicated regular black hole solutions utilizing the
complete $\alpha^{\prime}$ in the near future.
