Removing Hair Dye from Furniture with a Beeswax Finish?

How do I get hair dye out of beeswaxed wood? It is dark brown dye on light wood. First, I accidentally left kitchen cleaner on the dye which increased the area of stain. Then I tried scrubbing with baking soda and vinegar as suggested on your site, but now it looks worse than ever.

I think some of the surface wax is coming off. I can't leave it like this. I also read you can use lemon juice and vinegar. You can try to sandpaper it out, but I am worried these solutions will only make it worse again. Any ideas? Please help.

By belle from KY