HomePod Setup Failed (-71160)

Reset homepod:

https://support.apple.com/en-ca/HT20824

Then Set it up again with an iOS device that’s connected to wifi

https://support.apple.com/en-ca/HT208241

• Make sure that your iPhone, iPad, or iPod touch is updated to the latest version of iOS.
• On the iOS device that you use to set up HomePod, make sure that you signed in to iCloud with your Apple ID and turned on iCloud Keychain. You also need to have two-factor authentication set up for your Apple ID.
• Make sure that your iOS device has Bluetooth turned on and is connected to your home Wi-Fi network.*
• Make sure that the Home app and Apple Music app are installed on your iOS device. If you deleted either of these apps, go to the App Store and redownload them.

Make sure your phone wasn’t locked during set up as this will give set up failed error

HomePod won't set up correctly on a guest network where clients are isolated from each other. Your iOS device needs to be able to communicate with your HomePod over Wi-Fi.

tt2

Homekit requires wifi. You’re expecting it to do things it’s not designed to do. See my first post on set up requirements