You're welcome Elisabeth!
Great to hear it is working well

Yes, absolutely. You can use CueluxPro to create the lighting states and then dump/store those states into QuadCore Tracks. After that, assign the Tracks to the Playback cues that your existing Q-SYS buttons already call. This way you keep the fixture personalities, palettes, pan/tilt, colours, gobos and FX from CueluxPro, while Q-SYS still controls the QuadCore exactly as it does now.
I would first test this with one unused Track. Create a simple state in CueluxPro, store it into the QuadCore, then close or unpatch CueluxPro so the QuadCore returns to
Stand-alone mode. Preview the Track from the QuadCore and, if it looks correct, assign it to one of your existing Playback cues.
One important detail: while CueluxPro is actively connected to the QuadCore, the QuadCore is in
CueluxPro mode and its internal Playbacks are suspended. So use CueluxPro for programming, then let the QuadCore + Q-SYS run the finished system stand-alone.
Hope this helps!