Hi Cameron, I've the same setup.
You need to connect the Send from the XDJ-XZ to the Input from the DJS-1000.
You also need to connect a lan-cable between Link-3 (or link-4, both is fine) of the XDJ-XZ and the Link of the DJS-1000 (this enables quantization/ beat link between both devices).


If the song you want to record is playing at channel 1, you need to select channel 1 in the beat FX from the XDJ-XZ. In this way, it is pushing channel 1 to the Send output.

Have fun!