The state safety inspection is not covered under the BMW Maintenance Plan. If the dealer does it "for free", it's out of their own pocket. You can set the date yourself and reset when it's done.

That said, the safety and emissions dates in the Check Control are user-set because it's not something that's part of the BMW vehicle maintenance requirements, but rather a legal requirement that varies from state-to-state and country-to-country. For example, SC has no inspection requirements at all. Virginia has no emissions but has the annual safety inspection ($16). NC has annual emissions (most counties) and safety inspections.