Welcome to the forum, tporter17.
In my region (pacificnorthwest) items like yours , in about the same condition usually are sold, by private sellers, for $80-$150.00.
Since you've got an item missing it's original mirror & pieces of veneer , I think it's worth is right around that price range IMO.
It looks machine-made (hand fitted, though), the veneer looks like mahogany i.e. -551 MAH D (mahogany dresser).
One in original excellent condition,with keys, could fetch $300-$375 around here.