You should know how this works in the basics. When you connect a device, the device will ask the network some basic information using a protocol called DHCP: What IP am i, what is the default gateway and what is the DNS server?
When that device then wants to connect to some other device it will check (in its routing table) where to sent a package. Generally either it is a device within the same network or its part of another network/the internet.
If it is part of another network/the internet the device will send all that to the default gateway it got using DHCP. That gateway should then figure out where to send it next.
Let's assume the Beryl AX is 192.168.8.1, your Netgear Orbi is 192.168.1.1.
When you connect your Beryl's wan-port to the lan-port of the Netgear Orbi, it will ask that basic info. The Orbi gives it ip 192.168.1.3, default gateway 192.168.1.1 and DNS 192.168.1.1.
When you connect your work PC to the lan-port of the Beryl, it will also ask that basic information. The Beryl gives it ip 192.168.8.6, default gateway 192.168.8.1 and DNS 192.168.8.1.
To the orbi, another device is also connected. Let's call it private-pc on 192.168.1.10.
Let's see if connecting the Beryl WAN-port to the Orbi's LAN-port works, using some test cases.
Test case #1:
If the work PC wants to access the internet(8.8.8.8), it will see that 8.8.8.8 is not part of the network 192.168.8.x it is connected to. So it will send that traffic to the default gateway to handle it. The default gateway is 192.168.8.1 (the Beryl).
The Beryl receives the traffic and looks for the best route to it. It's not part of any network it knows, so it will send it to its default gateway 192.168.1.1 (Orbi).
The Orbi receives the traffic and looks for the best route to it. It's not part of any network it knows, so it will send it to its default gateway, which will be the ISP modem/gateway of your ISP. Your ISP will continue doing all the routing and will actually reach 8.8.8.8.
Test case #2:
Now let's check what happens of the work PC tries to reach that private-pc.
If the work PC wants to access the private-pc (192.168.1.10), it will see that 192.168.1.10 is not part of the network 192.168.8.x it is connected to. So it will send that traffic to the default gateway to handle it. The default gateway is 192.168.8.1 (the Beryl).
The Beryl receives the traffic and looks for the best route to it. It's part of a network it knows. The beryl knows both the 192.168.1.x and 192.168.8.x network, so it will send it to 192.168.1.10.
That means you can reach that private-pc from that work-pc.
Test case #3:
Now let's try that the other way around. Can the private-pc reach the work-pc.
If the private PC wants to access the work-pc (192.168.8.6), it will see that 192.168.8.6 is not part of the network 192.168.1.x it is connected to. So it will send that traffic to the default gateway to handle it. The default gateway is 192.168.1.1 (the Orbi).
The Orbi receives the traffic and looks for the best route to it. It's not part of any network it knows, so it will send it to its default gateway, which will be the ISP modem/gateway of your ISP.
Because it is a private-ip, the ISP (or the Orbi) will drop the traffic.
The Orbi does not know the 192.168.8.x network exists, so it will not give that traffic to the Beryl. Therefore it can never reach the 192.168.8.x network.
Preventing the work-pc from reaching the private-pc in this situation is really simple: Use the firewall in the Beryl AX to block traffic going to anything in 192.168.1.x. That would prevent the work network from being able to reaching the private lan.