How to change the order of a custom function added in the dropdown menu in the header region in 2.81 with python

Question

The duplicate post doesn't address the items in the dropdown. Only the bpy.types. The dropdown isn't part of that.

I'm have added a custom function to the face dropdown in the header region when in Edit mode. by appending to bpy.types.VIEW3D_MT_edit_mesh_faces

How do I change the order of my function in the dropdown list?

Here is a similar question but is addressing a different part of the UI.

what it looks like now:

what I want to see happen (doctored image):

The script so far:

bl_info = {
    "name": "Custom Algo",
    "blender": (2, 80, 0),
    "category": "Face",
}

import bpy

class CustomAlgo(bpy.types.Operator):
    """Custom Algo"""
    bl_idname = "face.Custom_algo"
    bl_label = "Custom Algo"

    def execute(self, context):
        print("Pretend that you have done something sticky with that face")
        return {'FINISHED'}


def menu_func(self, context):
    self.layout.operator(CustomAlgo.bl_idname)

def register():
    bpy.utils.register_class(CustomAlgo)
    bpy.types.VIEW3D_MT_edit_mesh_faces.append(menu_func)

def unregister():
    bpy.utils.unregister_class(CustomAlgo)
    bpy.types.VIEW3D_MT_edit_mesh_faces.remove(menu_func)

if __name__ == "__main__":
    register()