(i) Whenever the displacement results from the acquisition of the real property by a Federal Agency or State Agency, the initiation of negotiations means the delivery of the initial written offer of just compensation by the Agency to the owner or the owner's representative to purchase the real property for the project. However, if the Federal Agency or State Agency issues a notice of its intent to acquire the real property, and a person moves after that notice, but before delivery of the initial written purchase offer, the initiation of negotiations means the actual move of the person from the property.