Cooler Recommendation for Intel Core i5-12600 and Core i7-12700

Do Intel CPUs come with thermal paste?

Hands-on review: Intel Core i7-12700 CPU

Intel Core i7-12700 Alder Lake-S Desktop CPUs Benchmarked & Pictured, On Par With The AMD Ryzen 7 5800X 8 Core

Core i5 12600K 3.4GHz Ten-Core Sixteen-Thread CPU Processor L3=20M 125W LGA 1700 DDR4 B660 Motherboard - AliExpress

Hands-on review: Intel Core i7-12700 CPU

Don't OC but want an upgrade? Core i9-12900, i7-12700, and more, are coming soon to save you - Neowin

DROWN ALL OPPOSITION - MAG CORELIQUID B240

12600 on par with 7600x @ 1440P. Looks like I'm getting the 13600. : r/intel

Any recommendations on the cpu cooler for this build? I was just going to go with a spec Noctua for the i5-12600 but I don't know if it's optimal to go with

Buy Intel Core i7 12700 12th Gen Generation Desktop PC Processor CPU APU with 25MB Cache and up to 4.90 GHz Clock Speed 3 Years Warranty with Fan LGA 1700 4K (