Let's assume SpaceX's Starship starts working flawlessly tomorrow. It is apparently intended to get 100 tonnes to the moon, but it needs a second launch to get fuel in to orbit to reach higher energy targets. So we're looking at two launches per hundred tonnes. Assuming flawless operation and literally no weight for equipment to actually assemble the stuff once it's at the location, that's 700 maxxed out Starship launches just to get the shield in place.

After that, you've still not even started on getting the 35 million tonnes of counterweight in to position. And yeah, it helps if you only have to get 35 million tonnes of rock out of the moon's gravity well instead Earth's, but you still have to move 35 million tonnes of stuff. Getting 35 million tonnes to lunar escape velocity requires equal energy to 1.6 million tonnes to Earth's escape velocity (which would be 32,000 Starship launches), and that's before you account for having to get your rockets, fuel, and infrastructure to the moon in the first place.

After that, you still need to stop blanketing Earth in greenhouse gases or you need to keep making the shield and the counterweight bigger to compensate.

This just isn't happening on any realistically helpful timeline. This is maybe helpful to just start repairing some of the damage in a scenario where we fail completely.