Some thoughts
As you've picked a "k" CPU, I assume you're going to overclock. That CPU cooler won't be up for the task.
Small tweak, but look for faster ram, maybe 3200.
No SSD? For gaming it won't increase FPS, but load times are lightning fast, not to mention windows boot times and general responsiveness. Consider at least a 256Gb ssd.
I know GPU prices are crazy. What resolution are you wanting this system to play at? What games? I'm wondering if there's a way we can tweak this system and upgrade the GPU. Maybe even drop to an i5 if the budget is tight...