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r - Find the shortest path between points on a map made by the leaflet package

I would like to know how do I get the shortest path between two points on a map made by the leaflet package. I have the map done (figure below), but I would like to calculate the shortest path, as well as show this route on the map. It is possible?? The executable code is below.

library(leaflet)
library(geosphere)

#database
df<-structure(list(Properties = c(1,2,3,4,5,6,7,8,9,10), Latitude = c(-23.2, -23.6, -23.9, -23.9, -23.6,  -23.5, -23.9, -23.9, -23.6, -23.9), 
Longitude = c(-49.6, -49.6, -49.6, -49.4, -49.3, -49.9, -49.3, -49.2, -49.6, -49.9)), class="data.frame",row.names = c(NA, -10L))

#clusters
d<-as.dist(distm(df[,2:1]))
fit.average<-hclust(d,method="average") 
clusters<-cutree(fit.average, 4) 
df$cluster<-clusters

#Map using leaflet

example=df
getColor <- function(example) {
  sapply(example$cluster, function(cluster) {
    if(cluster == 1) {
      "blue"
    } else if(cluster == 2) {
      "green"
    } else if(cluster == 3) {
      "orange"
    } else {
      "red"
    } })
}

icons <- awesomeIcons(
  icon = 'ios-close',
  iconColor = 'black',
  library = 'ion',
  markerColor = getColor(example)
)

m=leaflet(example) %>% addTiles() %>%
  addAwesomeMarkers(lat=~Latitude, lng = ~Longitude, icon=icons, label=~as.character(cluster))
m

enter image description here

Thank you very much!!

Example that could be

enter image description here Source:https://gist.github.com/ramnathv/9998388#file-code-r

enter image description here Source: https://www.liedman.net/leaflet-routing-machine/tutorials/interaction/

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