TA mass for different M31 PM values. The top-left panel shows the TA mass for the classical two-body scenario. The rest of the panels show the change from the classical case when position and velocity are corrected over time using M31 merger modelling. The cross and open circle indicate the M31 PM for the radial approach and minimum TA mass, respectively. The PMs of M31 from HST (van der Marel et al. 2012) and Gaia DR3 (Rusterucci et al. 2024) are also shown.