While the Core i5 13600K remains the pick for the best all-round gaming CPU, and AMD is very competitive in the ~$275 market, Intel's Core i5 13400F is still a shoo-in for the best budget gaming ...
That means either an Nvidia GeForce RTX 3060 or AMD Radeon RX 6600 XT as a minimum, along with either an Intel Core i5 13600K or AMD Ryzen 5 7600X for your CPU, as well as 24GB of the best gaming RAM.