Hello jetpakstudio!
Bluetooth is used during setup, and perhaps for handoff, but HomePod uses the AirPlay 2 protocol over Wi-Fi for audio playback. Or in simpler terms, HomePod uses the Wi-Fi network that your iOS or iPadOS device is connected to. It isn't meant to be shown as a connectable Bluetooth device.
Also, please check out these links:
Set up your HomePod, HomePod mini, Apple TV, or iPad as a home hub - Apple Support
If you can't set up HomePod mini or HomePod - Apple Support
I hope this is helpful. Good Luck!