It's a $75 card. It's going to bottleneck on games.
https://www.newegg.com/Product/Product.aspx?Item=N82E16814202237
The stats aren't all horrible on it but increasing the GDDR will reduce some of the problem and is a cheaper replacement than a faster clock speed, etc.
I honestly think OP's biggest bottleneck is the 5400 RPM HD. Swapping that for an SSD should eliminate most of the problems. They're like $100 for 1 TB so it wouldn't be an expensive upgrade.
And just to throw it out there: "budget" always comes with bottlenecks. I mean, yeah, we all know that but it's easy to build a rig and go "this isn't as nice as I thought it would be" while we forget why we bought budget components in the first place. It's a shiny new computer and we always hope for better than we bought.
Why wouldn't you do that? If you're going to do it, do it right.