Cooler and Case Compatibility Question

I bought the AK620 Digital CPU Cooler, with the following dimension (as per the website LxWxH): 129x138x162.

The case I am looking for is MSI MAG Forge 321R with a CPU Cooler Compatibility of 160mm (Max CPU Cooler Length)

I am not sure as pcpartpicker didn’t mention any compatibility issue, but still not sure. Here’s a link to the case: https://us.msi.com/PC-Case/MAG-FORGE-321R-AIRFLOW/Specification and the Cooler: https://www.deepcool.com/products/Cooling/cpuaircoolers/AK620-Digital-Performance-CPU-Cooler-With-Status-Display-1851-1700-AM5/2024/17202.shtml

I am under the impression the clearance « length » of the MSI case is in fact the height (H) of the CPU Cooler and that they are not compatible?! I need clarification as I’m so confused right now….