I’d very cautiously take a couple of light passes with 240 grit. Once you have the stain in there and even you can achieve shine with your clear coats. Just take it a stroke at a time and really light on the pressure.
Generally for stain you don’t go past 320, and veneer tops are a tricky proposition for sanding as they are only 0.6 mm thick in most cases.
Good luck with it and remember less is more. You can take another pass at it but you can’t take an extra pass back once you’ve done it.