In today's gaming hardware demands, I would definitely go with a NVMe ASAP. It won't help with FPS, but it will definitely help with loading times (unless you like to make a cuppa while you load into a game lol).
I would recommend 2TB NVME 4.0+ for just purely games and application as they do benefit from the read/write speeds and keep your HDD for purely storage files. Hell, maybe make your current PC into a server.
Though I would highly advise against overclocking with the Intel 13th and 14th Gen...