You should look at benchmarks in 2 weeks between the 770 and 4060 after it is released. Your 3600 is going to hurt performance if you buy really high end. In today’s money, the price of the 4060 matches the original price of the 1060 6GB.
Beyond a new GPU, I would suggest building a whole new computer. If I can partially guess, I would say the 4 core i3 121000 would beat your 3600. I do know that the 12100 matches the 6 core i7 8700K.
One option is buy the best GPU you have extra money to spend on, and then in a year buy build a Ryzen 8000 system when those get released and then put your new GPU in your next system.
To give you an idea about performance, the 4060 Ti beats the 1080 Ti.
Does DDG still have the same upward trend that they used to before Brave caught on?