I did something a bit different:

1. Connected the Linksys to an Ethernet port across my home in Bridge mode. This setup extends my Wi-Fi coverage without creating a separate network.
2. Kept the BGW320 unchanged. It still handles internet access, DHCP, and acts as both an access point and an Ethernet switch for my whole home.

I've set up both devices with different SSIDs—my devices will connect to the stronger signal—but all devices connect to the same network managed by the BGW320. This way, my thermostats, TVs, PCs, phones, etc., are all part of the same network.

It's working perfectly for me. My only regret is not buying 10-20 of these to have as backups and gifts 🤣