Removing stain from Formica top

The house we are moving into (AKA Money pit) has a major stain on the bathroom vanity. I looks like someone set a leaking container (you can see the outline)-maybe shampoo
and the leak just spread. Really would like not to replace, but it looks very icky. Have tried hydrogen peroxide and dish soap. Googling comes up with repainting with lovely product, but 3 part technique and about $80. With the unforseen (unseen) major problems of this house, would like to fix , not replace" but on a budget. What looked like a repaint and good clean-up; has turned into a $$$$$$$ at every turn. So many problems were overlooked or unable to be seen. Have knot on forehead, from knocking in on the walls.
All suggestions greatly appreciated.