If you are worried about one of those people colluding with another to get the secret sauce too early, then split the secret. Give it to 50 people and require any 10 of them to release their material. Or whatever, you can tune it how you like depending on how many people you trust and how much you trust them. Automation is unnecessary.
This is, in fact, practical to do with Reed Solomon codes.
This is, in fact, practical to do with Reed Solomon codes.