Home.app cannot find HA HomeKit Bridge

I’m using HA core, and no matter if I install the integration from the UI, or manually add homekit: to my configuration.yaml, when I try to add the HA HomeKit bridge as an accessory in the Home.app, I get a long wait on “Connecting to Bridge” and then “Accessory not found”. Any ideas? Maybe I’m missing something obvious.

Note: I’m not using a proxy or VPN, both HA and HomeKit hub (iPad) are on the same WiFi network. HA core is running on Docker.

I am starting to suspect this could be the Docket network isolation, for the HomeKit docs on HA:

Remember that the iOS device needs to be in the same local network as the Home Assistant device for pairing.

The question is: is it talking about “local network” as in WiFi network, or IP address/subnet? (I know these could be the same thing but I also know there are some issues since docker cannot live on the host network on MacOS)