According to Newegg website, the CPU cooler for LGA 4677 socket used by next-gen Xeon Scalable processors is already listed. The Dynatron S6 cooler listed for less than 50 USD is compatible with Sapphire Rapids CPUs rated up to 300W. While the release date for Sapphire Rapids CPUs are expected to be delayed until Q2 of 2023.
Since Intel Sapphire Rapids to be delayed, Intel Emeralds Rapids, a successor to Sapphire based on the same Intel 7 node, should be also delayed. Stay tuned for more info.