I need help choosing components for my first desktop pc

So, as the title says, I am going to build my first desktop pc this year and I need help choosing the right components for my budget, it's not a very strict budget but I would prefer to stay under 1400€. I've already read some info around the internet and would like to get an Intel Core i5-12600, An Nvidia RTX 3060 12gb VRAM, and 16 gb of DDR5 RAM. Is this a good combination or should I get different components? Will 16gb RAM be enough? And also, does the thing to mount the CPU cooler on the LGA1700 socket come together with the CPU cooler or do I have to buy it separately? For the CPU cooler I think I will get a thermalright peerless assassin 120 SE, since I heard it is a good cooler for the price. For the motherboard I was thinking a TUF B760-PLUS WIFI. For building the pc I already know someone who can do it for me. If you can recommend a case, preferably with steel or mesh side panel, I would appreciate it.