At this price point a console is a better option. With gpu prices still insanely high your budget just about covers an entry/mid level gpu with little spare for anything else. What sort of games are you wanting to play and at what resolution?
Going to be abit cheecky and give an Intel and AMD build with gpu, but both are abit over budget and the AMD is and older type cpu, still capable but the 5600G and 11400 will be better for the future then again can also be upgraded at a point and you could look for used at that time.
Used is always an option of course, can atke what you see here and look for similar but used. Could of course look for a used gpu as well and seee that you can get a better one for about the same price as this new one in these builds.