I built about 9 systems for AH in the past couple of years, usually at the low-cost side for 1080p resolution (i.e., no VR).
Here's a list like a few machines I built, with some different options for graphics card, amount of ram, amount of nvme:
https://www.amazon.com/hz/wishlist/ls/2FTTGEKPLXTPK?ref_=wl_shareAbout $440 will do it if you want cheapest to get 60 fps with decent AH settings*. (Choose 16 gb ram, 500 gb nvme, gt 1030 graphics card.)
About $610 for 60 fps at max AH settings or so and run numerous other games decently. (Choose 32 gb ram, 1 tb nvme, rx 6600 graphics card.)
Those prices don't include monitor, keyboard/mouse, or battery backup. I put candidates for those in the list if you need them. It doesn't include price for getting windows. There are win11 pro key keys available from gamers-outlet.net.
*"decent AH settings" in the above for the cheap system means settings at default -- then do the following. Slider at "none"; disable reflections, shadows, pilot mesh; enable post lighting, bloom, star burst; set to max: object detail, ground detail range, terrain detail. Leave slider for tree detail at default.