I need a good gpu for my secondary pc

Hi! My main pc is a 4080 super oc ryzen 9 7900x3d and plenty of ram I have bought a secondary pc with the help of chatgpt(horrible idea) and the cpu can’t handle the streaming (I want 1080p60fps as it’s twitch standard.) Need to offload everything from my main pc I have elgato60 x hd as a capture card. I need a simple but useful gpu for encoding on my secondary pc, I was thinking 3050/3050ti, and I already have the secondary pc with a ryzen 5600x Do I need to share more components for a better response? I stream escape from Tarkov but also play other games from time to time. That game is really badly optimised and I need to squeeze in the most performance out of my gpu. Game works better when I only play from that pc compared to when I also stream and have 5 other applications open(da Vinci, browsers, stream deck etc…) I will still edit and post videos from gaming pc but not when playing My ram is z triden skill 2x32 cl28