Central ﹩\sim 2\mathop{.}\limits^{^{\prime\prime} }1\times 2\mathop{.}\limits^{^{\prime\prime} }1﹩ region of NGC 6764 observed in the K_s band with LUCI 2/SOUL at the LBT. The astrometric solution was tied to the ICRS using three Gaia DR3 stars within the 30″ LUCI 2 field of view. Their catalog positions, given at the reference epoch J2016.0, were propagated to the epoch of the observations, J2023, using the cataloged proper motions where available (Gaia Collaboration et al. 2016, 2023). The nucleus resolves into three components (1–3) with pairwise separations of ﹩0\mathop{.}\limits^{^{\prime\prime} }19﹩ (1–2), ﹩0\mathop{.}\limits^{^{\prime\prime} }20﹩ (1–3), and ﹩0\mathop{.}\limits^{^{\prime\prime} }07﹩ (2–3), corresponding to 28.8, 30.9, and 11.0 pc at D = 32 Mpc, respectively. The cyan crosses mark the VLBA core (P. Kharb et al. 2010) and the Hα and CO peaks (S. Leon et al. 2007). The astrometric accuracy is approximately ﹩0\mathop{.}\limits^{^{\prime\prime} }005﹩ for the VLBA core, while the conservative absolute uncertainty of our Gaia-calibrated astrometry is ﹩0\mathop{.}\limits^{^{\prime\prime} }17﹩. The uncertainties of the CO and Hα positions are ﹩0\mathop{.}\limits^{^{\prime\prime} }2﹩–﹩0\mathop{.}\limits^{^{\prime\prime} }3﹩.