Kernel density estimate smoothed distribution of simulated orbits, showing the probability densities of the resulting orbits projected on the equatorial and meridional galactic planes in the non-inertial reference frame where the bar is at rest. The green and yellow colors correspond to more probable regions of the space, which are crossed more frequently by the simulated orbits. The black line is the orbit of 2M12451043+1217401 adopting the central inputs. The small white star indicates the present position of the N-rich star, whereas the white square indicates its final position. In all orbit panels, the white dotted circle shows the location of the co-rotation radius (CR), the horizontal white solid line shows the extension of the bar. Columns 1 and 2 show the results adopting the estimated distance from the StarHorse code, while columns 3 and 4 for estimated distance from Bailer-Jones et al. (2018).