Sandpaper for that task. you need to feather the spot out. Just like you would an auto finish.
Not knowing what the stand looks like and how bad the fail is I might consider a strip and refinish.
I have a bookshelf that I built 30 years ago. It had been 3 floods and looked worn. Since it is real wood there was no damage. The wife wanted me to paint it white and since I have no real attachment to it agreed. So I took part of it apart. Like the back. Figured it would make it easier. As I start looking at the build I decided to relegate it to the garage instead. Let me say my woodworking skills have increased about as much as our national debt.
Not knowing what the stand looks like and how bad the fail is I might consider a strip and refinish.
I have a bookshelf that I built 30 years ago. It had been 3 floods and looked worn. Since it is real wood there was no damage. The wife wanted me to paint it white and since I have no real attachment to it agreed. So I took part of it apart. Like the back. Figured it would make it easier. As I start looking at the build I decided to relegate it to the garage instead. Let me say my woodworking skills have increased about as much as our national debt.