Usually what I do for all my cubes it take out 3 or 4 pieces and coat the exposed sides in a thin layer of traxxis 50K. It starts off a little gummy, but after a few 5 to 10 minutes of random turning or straight up solves it's pretty well worked in. Fast forward 2 week, it's really fast and not gummy at all. And it'll likely still be a while before I have to reapply.
Traxxis 50K can get gummy pretty quickly so I've had to learn to apply traxxis sparingly. But $20 of traxxis has lasted me AND another cubing buddy for over a year so far. I still have over half a bottle left.
I didn't feel like taking the whole thing apart to lube the core, so I just put a drop of 25ct shock oil underneath all the screws, and let random solves and time work it down to the washers. It didn't completely get rid of the springy noises, but it did good enough.
I'm pretty tolerant of the springy noises, I guess.