Airport Extreme died, looking for replacement with Time Capsule compatibility

My home network is served by a Time Capsule 802.11ac, connected to an Airport Extreme 802.11ac via wired Ethernet to extend the range of the Time Capsule. The Airport Extreme just died. I opened it up, checked that the power supply is OK (it's outputting 12 V just fine, and not just on its own, but with all connectors plugged in), cleaned everything with compressed air, but it's still dead. I'm looking for a replacement WiFi repeater/router, and obviously with the discontinuation of the AirPort line, it's not an option. Looks like mesh WiFi is all the rage these days. My question is, are they going to be compatible with the existing Time Capsule in the network? Can anyone recommend a specific model which they've had success with? And while beggars can't be choosers, I'd really like to keep using the Ethernet connection to avoid wasting wireless bandwidth if possible.