IF your second router did this, it would NOT be in your room. It would get the same poor WiFi signal as your PC. The location would be the same as those (which I never deploy) WiFi extenders.
https://kb.netgear.com/25508/Where-should-I-place-my-NETGEAR-Wi-Fi-range-extender


If you feel that a better WiFi would fix this, would a better USB WiFi device help?
Something like https://www.amazon.com/Sabrent-NT-WGHU-Long-Rang-Wardriving-Extension/dp/B003EVO9U4 or https://www.amazon.com/Alfa-Long-Range-Dual-Band-Wireless-External/dp/B00VEEBOPG/

But the router as a Wireless Client (look for that in its manual) should have nearly the same performance as what you have.