I do not see your cooler on the compatibility list. You could contact Corsair for clarification.
https://www.corsair.com/us/en/compa...-for-lga-1700-and-intel-alder-lake-processors
As an FYI, if you haven't bought a board yet, you might want to check out Asus Z690 boards. They have LGA 1200 and LGA 1700 mounting pattern, avoiding the need for said bracket.