Over the last year I've tried Glayzit and various oils and waxes. They all faded over time
Also, note the weird discolored area. I think that's from years of candles. I found traces of fragrant wax on the cabinet when I got it.
Since I had my wet sanding supplies out for another project, I decided to give it shot.
I'm using 800, 1000, 1500, 2000, 2500 and 3000 grits.
It's looking better already. I probably could have gotten more scratches out if I had been more aggressive, but I was concerned about damaging the hard outer surface.
Next, I buffed it with Novus #2 and Simichrome metal polish.
Much better
The stain is just about gone too.
Now I just need to do the rest of the cabinet