ATC gave clearance, and then immediately realized and told them to stop like 10 times.
That being said, any vehicle crossing the runway is required to verify physical clearance before crossing active runways for this exact reason.
A landing plane is bright as fuck, even after they're on the ground. Those landing lights are like little suns because of what they need to illuminate for the aircraft at a distance.
That driver clearly didn't even attempt to check the runway before heading out.