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Sgr A* is currently very faint. However, X-ray radiation reflected by the Sgr A complex, a group of nearby molecular clouds, suggests that it went through one or more periods of high activity some hundreds of years ago. We aim to determine whether previously proposed physical scenarios are consistent with the observed X-ray variability over the past 25 years, and to characterize the spatial distribution, shape, and internal structure of the clouds. We exploit the full set of XMM-Newton observations, extending the previously studied dataset on variability by at least 12 years. Starting from the recent IXPE result that places the so-called Bridge cloud 26 pc behind Sgr A*, we reconstruct the LOS position of the other clouds, assuming that they were illuminated by a single flare. Additionally, we derive the probability density function (PDF) of the molecular density. We also study the 3D geometry of the complex in case two flares illuminate the clouds. As of spring 2024, the lightfront is still illuminating the Sgr A complex, with the Bridge currently being the brightest cloud. The other clouds in the complex have faded significantly. In the single flare scenario, the Sgr A complex is located $\simeq$ 25 pc behind Sgr A*. In the past 25 years, the illuminated region spans 10-15 pc along the LOS. The derived PDF is roughly log-normal, consistent with previous Chandra results, with a possible high-density excess. Both a single and a multiple flares scenario can explain the observed X-ray variability. Previous concerns about the single flare scenario, raised by shorter monitoring, are now overcome in the 25 years of monitoring. If two flares illuminate the clouds, they must be separated by at least $\sim$ 30 years. We speculate that these clouds are closer to Sgr A* than the nuclear molecular ring at $\simeq$ 100-200 pc and possibly drifting from the ring to the inner region of the Galaxy., Comment: 19 pages, 15 figures. Accepted for publication in A&A

Molecular clouds in the Galactic center (GC) reprocess radiation from past outbursts of nearby high-energy sources, generating a bright Fe K-alpha fluorescence at 6.4 keV. The closest clouds to the GC are only $\simeq 1.5$ pc from Sgr A*, forming a torus-like structure known as the circumnuclear disk (CND). The study of fluorescence emission can lead to a characterization of the illuminating source(s), the reflecting clouds, and the global geometry of such a system lying in the GC. The primary purpose of our study is to analyze possible fluorescence signals arising in the CND. This signal would allow us to constrain the CND's physical properties and the source-reflector system's geometry. By exploiting the last $\simeq 20$ years of XMM-Newton observations of the GC, we studied the variability of the Fe K-alpha line in the region around Sgr A*. We identified regions with a flux excess and computed the spectrum therein. We then derived the hydrogen column density of the CND after relating the intensity of the 6.4 keV line to the total energy emitted by known transient sources in the region. Starting from data collected in 2019, we find significant line excesses in a region compatible with the eastern portion of the CND. The echo radiation can be linked to the 2013 outburst of the magnetar SGR J1745-2900. We derive a mean effective hydrogen column density of the CND in the eastern region of $\simeq 10^{23}$ cm$^{-2}$. The scenario depicted is physically plausible, given the luminosity, the position of the illuminating source, and the expected density of the CND., Comment: 15 pages, 18 figures, to be published in Astronomy & Astrophysics