The AMD encoder is the worst possible option for streaming, even if you bought the newest of GPU models. It's pretty good for recording or if your CPU isn't that fast, as a last option.
If you want to spend money, I'd go for a GTX 1650 super, any of the GTX 1660 or RTX cards, from NVIDIA. The Turing NVENC chip in these specific models can output quality similar to x264 Medium with no performance impact on gaming.