In addition to any exemptions from the vehicle code under ORS 801.026, ORS 822.300 does not apply to the following:
(1) Vehicles lawfully operated with plates furnished to vehicle dealers under ORS 822.040.
(2) Vehicles lawfully operated with registration plates issued by this state.
(3) Vehicles being towed by other vehicles lawfully operated with plates issued for towing businesses under ORS 822.210.