better yet: 13600k/kf or 14600k/kf. you're going to get a new cooler regardless, but these should have noticeable speed ups due to a better core/cache structure
#Upgrade
spice sun
if you can't stretch the budget there, a 12600kf is still great
13-14th gen ones are like 300$ but i can get a 12th gen for 140$