L_z vs. E_tot (top panel) and vs. L_⊥ (bottom panel) showing ED-2 as blue and lighter blue circles, corresponding respectively to original members from Dodd et al. (2023) and to the extended sample (see B23 for details). Gaia BH3 is shown as a red cross. Members of ED-3 and Sequoia (as classified by Dodd et al. 2023) are also shown. The dark points in the background are from the Gaia DR3 6D sample within 3 kpc and RUWE < 1.4. We also show two retrograde GCs. The vertical error bars show the variation in L_⊥ for ED-2 and the two GCs along their orbits.