How to do a Venn Diagramm with ggplot2?

Question

I have the following dataframe:

df <- data.frame(
  group_final = c("EUR", "MAT_EUR", "MAT_Top_EUR", "Top_EUR", "MAT", "MAT_Top", "Top"),
  count = c(17744, 69, 63, 104, 517, 34, 819)
)

I would like to plot a Venn Diagram with three main circles, represented by EUR, MAT, and Top, while the intersections of these three circles are called Top_EUR, MAT_Top, MAT_EUR, MAT_Top_EUR. How can I do this Venn Diagram with ggplot2?