Replacing Google WiFi point

Hi, this is no doubt a daft question but I wanted to ask before I spent any money.

I've currently got the Google mesh WiFi 3 pack (old style round power chord, not the usb c) and one of the WiFi points has stopped working and won't power on. If I just buy one of the WiFi points off of eBay will I be able to connect that to my home network ok and replace the dead unit? I'm sure it would be fine but keep doubting myself as it wouldn't surprise me to find Google has somehow locked everything down.

Thanks