Did you use the correct assembly bag with the material for your processor socket? It's better to check the assembly instructions again. Just don't choke. It is also possible that a set for your socket is missing.
Maybe you used the wrong accessories? Or the cooler doesn't fit Intel MB?!
A few days ago I installed the Pure Rock 2 and the Pure rock 3 LX cooler on two AMD MBs. The installation went perfectly on an AM4 and the AM5 without any problems!
The Pure Rock 3 is even easier to install, as the crossbar is already pre-mounted! 😊 On the other hand, the 2 makes a slightly better impression visually and in terms of quality.