If we take a closer look, the Zimun framework has certain exlcusions to reach the quorum of three individuals. Rabbi Aryeh Richter discusses some of these particular cases and when a Zimun can or cannot be achieved.
Amud Yomi | Berachos 32b- Part 1
י׳ בניסן תשפ״ד (י׳ בניסן תשפ״ד (April 18, 2024))
