I would like to ask for recommendations about which clustering algorithm to use to analyze any potential groups/clusters in this road. The dots are representations of many fast-charging stations for electric vehicles, however, I am looking to group them with the least subjectivity possible. I am using GIS tools, so, any recommendation about any potential clustering technique to use is more then welcome. Thanks in advance!

I have considered k-means but i dont like the idea of me deciding how many clusters there will be. The idea is that the clustering should tell me how many clusters there should be.