for the whole system around 2000. no 4k
The first thing to do would be to explore your local market and see what GPU are available and the pricing for said.
You can build a very basic, but workable base system for around $600 and up from there according to how powerful a system you wish to build.
As a "for instance":
i5 10400 or similar.
B or H chipset by price
16GB of RAM such as Corsair Value, Ripjaws, etc.
SSD such as the WD Blue, Samsung 8xx series (and there are other good options)
a case- this can be as basic as $25 and skies the limit. Remember to match the case form to the size motherboard
Once you price something similar to the above together, then start looking for the GPU based on price and availability. Alongside that, consider the PSU that the GPU you find and like requires. Pick something middle of the road or better for a PSU. There is a great list here on Toms concerning quality tiers.
Don't forget peripherals like monitor, mouse, keyboard and would also suggest to keep in budget for something like an inexpensive 1TB+ HDD for game storage.
In my mind I would think something like an i5 based system running a 3060 level GPU should be possible on that budget.