P-value from Dunn's test

[KowalskiBio]

I have used non-parametric ANOVA (Kruskal-Wallis) with post-hoc Dunn's test. It shows me p-value for difference between groups.
Part of my plot is this:

geom_signif(
comparisons = significant_pairs,
map_signif_level = FALSE,
step_increase = 0.1,
test = ("test")
)+

I have used wilcox.test, kruskal, t.test... non of these gives me p-values even close to values from Dunn's test. test = ("anova") always gives me computation failed. significant_pairs is a list of pairs I want to compare. I would like the test = () to perform Kruskal-Wallis test with post-hoc Dunn's test. Is it possible, or is there a similar solution?