Homey Pro Satellite outside Zigbee range

I have multiple sites and each of these sites have mutiple buildings. I was thinking of getting a Pro per Site and Bridgesin satellite mode for the secondary buildings.
These secondary buildings are in the same network, but are outside of the Zigbee range. Will the Bridge act as a repeater only and not work as it is outside the zigbee range of the Pro or will it get it’s ZigBee commands via LAN and broadcast them that way?

Note: Not tested myself …

Yes, that’s wat they (Athom) describe.

Nope,
Only for Sending RF 433 and InfraRed it works that way (by defining the antenna in the configured device. )