If your Home Assistant has Bluetooth, and the Aranet4 has the "smart home" integration enabled (via the app settings), then HA will pick up ambient broadcasts of the sensors out of the box. You don't need Zigbee or explicit pairing.
You're not limited to the Aranet4 app. The device speaks Bluetooth and there are Python and Go libraries for parsing the protocol. There is also a Prometheus exporter for it.