We need Retraining because of our Charter, though.The second stage of Department of Agitation and Propaganda is half-completed and gives the same (mechanical) benefit as Retraining. I think it would be worth it to try and compete it, and one die gives us a 61% chance of doing so. Honestly, it might be worth throwing a second die, since it's a staged project, but I do kind of want to start with the Retraining.
Yes, that's why I start it. But between the lower odds of completing it with two dice and the fact that Department of Agitation and Propaganda is also work in ideological direction, I do think it's better. It's not like feeding our parahumans lines on what to say to the media will turn them into true believers by itself.