This year Shemini Azeret and Shabbat coincide.
What is the last meal done in the Sukkah? Is Seudah Shelishit in this context has to take place in the Sukkah?
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Shulchan Oruch 668 (1) says:
Outside of Israel, they eat in the sukkah at night and during the day (of Shemini Atzeres) because it might be the seventh day. They do not bless on this sitting.
On the words “ at night and during the day” the Mishna Berurah says:
(ה) בלילה וביום - אבל לאחר שאכלו סעודתן ביום מנהג העולם שנפטרין מן הסוכה ויושבין בבתיהם [מ"א] אבל אי איתרמי ליה לאכול אפילו בין השמשות צריך לאכול בסוכה
But after they ate their daytime meal, the custom is that they leave the sukkah and dwell in the house. But if they need to eat, even at twilight, they have to eat in the sukkah.
Seudah Shelishit is a need to eat after the daytime meal and therefore should be eaten in the sukkah.