The Office Depot special, that Lenovo L340, is a non-starter by comparison. It has no dedicated graphics card. Nice laptop for office/school use and it has a roomier hard drive, but that's about it. Office Depot is almost never a good place to shop for a computer for gaming, even if the game in question has some age to it.
Just to make sure we are talking about the same Asus model, this is the one I saw. If and when the much smaller (but SSD, so better for TS3) hard drive begins to be too limiting, you could put a larger SSD in it sometime in the future and a RAM upgrade, again maybe in the future, wouldn't hurt things either.
https://www.bestbuy.com/site/asus-fx505dd-15-6-gaming-laptop-amd-ryzen-5-8gb-memory-nvidia-geforce-gtx-1050-256gb-solid-state-drive-black/6338249.p?skuId=6338249&ref=212&loc=1&ref=212&loc=DWA&gclsrc=aw.ds&&gclid=EAIaIQobChMI7rf7iOv85AIVGZSzCh129Q24EAYYASABEgLyMvD_BwE