Bool property toggle the state of another bool property?

Here’s an example:

import bpy


class HelloWorldPanel(bpy.types.Panel):
    """Creates a Panel in the Object properties window"""
    bl_label = "Hello World Panel"
    bl_idname = "OBJECT_PT_hello"
    bl_space_type = 'PROPERTIES'
    bl_region_type = 'WINDOW'
    bl_context = "object"
    
    def draw_header(self, context):
        self.layout.label(context.object.my_enum, icon='TRIA_RIGHT')

    def draw(self, context):
        layout = self.layout

        ob = context.object

        col = layout.column()
        col.label("As dropdown:")
        col.prop(ob, "my_enum")
        
        col.separator()
        col.label("Expanded, in column:")
        col.prop(ob, "my_enum", expand=True)
        
        layout.label("Expanded, in row:")
        row = layout.row()
        row.prop(ob, "my_enum", expand=True)


def register():
    bpy.utils.register_module(__name__)
    
    bpy.types.Object.my_enum = bpy.props.EnumProperty(
        items=(
            ('ONE', "One", ""),
            ('TWO', "Two", ""),
            ('THREE', "Three", "")
        ),
        default='TWO'
    )


def unregister():
    bpy.utils.unregister_module(__name__)
    del bpy.types.Object.my_enum


if __name__ == "__main__":
    register()