I am trying to bevel the edge of my circle. When I select only one edge it causes the Bevel to be inverted and stretched over the other two edges:

When I try to do it on the half circle:

My first Idea was to change the value of the actual profile but it didn't help either. Using Inset to remove the Ngon I get the following result:

The File:

Q: Why is the bevel operation acting that way in this case and how to bevel the edges properly?