Homepod Mini not compatible to wifi

Typically the issue is that your Wi-Fi network has a client isolation or wireless security feature enabled that allows connections to the Internet but blocks peer to peer traffic. See If you can't set up HomePod - Apple Support. Note that:

• HomePod doesn't support public or subscription networks with sign-in requirements. These networks are often in places such as businesses, schools, dorms, blocks of flats, hotels and shops. 

tt2

Yes, HomePod doesn't appear to play nicely with mesh routers at the moment.

tt2