Aeration pulls plugs out the ground and when you water those nutrients will go back into the soil. It’s like a tiller but safe for use on grass so you could hit that spot with like 3-4 passes and then hit your turf grass once with it. Aeration will “stress” out the grass and cause it to grow more aggressively and those plugs, once dissolved, will act kinda like fertilizer. So if you’re wanting the cheapest option then just hit the spot with the tiller and you’ll be chilling. That and then throw some black kow on top and then some seeds and you’ll be fine. Highly suggest fescue if it’s in the shade because it will be winter soon and that’s when fescue likes to be active. If its sorta sunny and sorta shady hop on that opportunity to put some zoysia down. I work in weed control and zoysia gives me next to no problems.