It doesn’t sound like they have a DVS system. What they (appear to) have is a traditional analogue setup with two turntables for playing regular vinyl and a three-channel mixer to play it all. Perhaps the mixer is of the type that has a built-in sound card allowing USB hook-up and playback of sounds from computer sources. If it’s DVS-ready mixer and/or if it is a single or dual sound card isn’t mentioned. Easiest way to find out is to just ask brand/model of the DJ mixer.
That said, since you are a controller DJ (not a DVS one) and they clearly have no problem with you bringing your own gear, like Todd said that would make the most sense. You will either plug in your output(s) into the DJ-mixer or the house (PA) mixer. Be sure before you start playing to do a good gain level check, starting with a track level on your controller and then setting 0dB average on all the stages of the sound chain. Also set the EQ on the channel(s) on the mixer you will be using to neutral!
Just my 3 cents as usual.