Sorry, but it seems there might be some mix-up in your question. It's worth noting that there is no such device as an "Ipod mini." There is an "iPod mini" model that was released by Apple several years ago, but it's not related to HomePod or the latest iOS versions.
As such, I'm assuming you meant "HomePod mini" instead of "iPod mini:"
1. Compatibility: All HomePod mini devices should support the same architecture and features unless explicitly stated otherwise. However, it's important to ensure that all devices are running compatible software versions.
2. System limitations and workarounds: While HomePod mini is designed to work seamlessly with iPhones and other Apple devices, there can sometimes be issues with setup or invitations. Here are a few troubleshooting steps you can try:
- Ensure both your HomePod mini and your mate's iPhone are running the latest version of iOS.
- Verify that both devices are connected to the same Wi-Fi network and that Bluetooth is enabled.
- Restart both the HomePod mini and your mate's iPhone.
- Double-check that you've followed the correct process for inviting your mate to share the home using the Home app.
3. Suggestions: If the above steps don't resolve the issue, here are a few additional suggestions:
- Try removing your mate's existing Apple ID invitation and send a new one.
- Reset your HomePod mini to its factory settings and set it up again.
- If possible, test the invitation process with another iPhone or iPad to see if the issue persists.
If you continue to experience difficulties, it may be helpful to reach out to Apple Support for further assistance. They can provide more specific guidance and help troubleshoot the problem based on your specific setup. To do so, simply select the "Support" link on the lower left-hand side of this forum's web page.