Agreed with the above, especially need to pay attention to your resolution to figure out GPU needs. To add to this, you would probably be fine with a 7800X3D, unless you really need the extra CPU cores for non-gaming related tasks.
For reference, I have a 5800X3D, 32GB RAM, 970 1TB SSD, and a 6700XT, and I’m playing 60+ FPS on high on most games at 3840x1600. Nowhere near the budget you’re looking at. That being said, AM4 socket is EOL’d, so stick with the Ryzen 7000 series if you want AMD.