The class-transition Galactic X-ray binary IGR~J17091–3624 was simultaneously monitored by the and satellites. We present a detailed spectro-polarimetric study of the source using data from both satellites covering the period from March~7–10, 2025. A polarimetric analysis in the –~keV band using a model-independent method reveals a significant detection of polarization degree (PD) of at a polarization angle (PA) of (significant at ). The model-dependent polarization analysis using the and models yields consistent values of PD and PA. In both methods, an energy-dependent increasing trend of PD is observed. In the –~keV band, a maximum PD of (significant at ) is detected at a PA of (). The joint spectral analysis using and data in the –~keV band was performed with four different sets of phenomenological and physical models. Our results indicate a strong dominance of non-thermal photons originating from a `hot’ Compton cloud, suggesting that the source was in a hard spectral state. Spectral fitting with the physical {\fontfamily{qcr}\selectfont kerrbb} and {\fontfamily{qcr}\selectfont TCAF} models provides an estimate of the black hole mass and dimensionless spin parameter . The requirement of a higher hydrogen column density in the spectral fit of the second observation is attributed to the obscuration of non-thermal photons during the dip phase, likely caused by the presence of wind accreted from the companion star.

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