"I delegated my authority to protect myself using force in my example."

You can delegate the right to defense to other agencies. You can even group together with others and delegate your right to defense as a group.

However you have no right to steal. Nor does anyone in your group. So you cannot delegate the right to steal to your agency. You can have all the delegate defense you want, provided you pay for it without theft.

You also do not have the right to force others to join your group. So therefore you cannot delegate to your agency a right to force others to join. Therefore your agency cannot enforce itself as a monopoly on defense.

Which is what the question is really about.