The Yad David (in Menakhote) states clearly that our prayers (that replaced korbanote while the Temple was gone) will displace them after the Third Temple is built.
n r
3 years ago
ויקרא רבה ט׳:ז׳
(ז) רבי פנחס ורבי לוי ורבי יוחנן בשם ר’ מנחם דגליא: לעתיד לבא כל הקרבנות בטלין וקרבן תודה אינו בטל. כל התפלות בטלות ההודאה אינה בטלה Vayikra Rabbah 9:7
(7) Rabbi Pinchas, Rabbi Levi and Rabbi Yochanan [said] in the name of Rabbi Menachem from Gallia: In the time to come, all sacrifices will be annulled – but the sacrifice of thanksgiving will not be annulled. All prayers will be annulled, but the prayer of gratitude will not be annulled.
An alternative understanding of Rav Kook on sacrifices in the third Beit HaMikdash:
Marc Shapiro: R. Kook on Sacrifices & Other Assorted Comments – The Seforim Blog
The Yad David (in Menakhote) states clearly that our prayers (that replaced korbanote while the Temple was gone) will displace them after the Third Temple is built.
ויקרא רבה ט׳:ז׳
(ז) רבי פנחס ורבי לוי ורבי יוחנן בשם ר’ מנחם דגליא: לעתיד לבא כל הקרבנות בטלין וקרבן תודה אינו בטל. כל התפלות בטלות ההודאה אינה בטלה
Vayikra Rabbah 9:7
(7) Rabbi Pinchas, Rabbi Levi and Rabbi Yochanan [said] in the name of Rabbi Menachem from Gallia: In the time to come, all sacrifices will be annulled – but the sacrifice of thanksgiving will not be annulled. All prayers will be annulled, but the prayer of gratitude will not be annulled.