My advice is tangential but run an ethernet cable. Access points aren’t great at long distance. Setup an AP in the far away room on the other side of the house. It will be far less frustrating.

I bought a Netgear WAX218 a few months back for around $100... but a quick look around shows that either the price has gone up significantly or they're not making them anymore? Well, if you manage to find one for a decent price, I highly recommend it.

I am a big fan of Netgear’s Orbi line. Really I think distance is more of a relative/ location issue and a mesh system that allows you to move the satellite endpoints around to suit your needs is very useful to figure out the optimal situation for a given environment.

https://www.netgear.com/home/wifi/mesh/orbi/

for a normal AP, then I'd get a second hand ubiquity LR off ebay.

Buy two Asus RT-AX56U, install Merlin on it, then join them using the built-in wired (or wireless) mesh feature to cover large area on the cheap.