Does BTHome require a working Bluetooth integration, or can it use Bluetooth Proxies

I run HA as a Docker container on my NAS, which has no Bluetooth, and no way to add Bluetooth. I have an ESP32 Bluetooth Proxy working with some devices already exposed by it, except for a couple of Xiaomi Mijia LYWSD03MMC devices which apparently would require the BTHome integration. However, when I try to add the integration, it tells me it needs a working Bluetooth integration.

Any ideas on how to make this work?

I was missing the BLE Tracker service on the ESPHome node. Once I added that and enabled the BTHome protocol on the thermometer, it appeared as a device on HA.