Several routers available
Several routers available
You're right, that won't help. You'll need a Wi-Fi extender to improve the signal.
I've encountered issues with AP services before. If you find a reliable alternative, I might think about switching.
This happens since the device connects through the LAN instead of the WAN port.
What is your budget? You might consider something like an Ubiquiti AP based on your spending limits and required coverage.