I doubt that these great thinkers have a plan at all. From what I've observed about the current government, there is no reason to believe that they have the capacity to think through any plan.
In any event, plan or no plan, inflation is now palpable and caused by poor policy decisions. Due to the capacity of global production to over supply demand, the inflation is caused by supply chain disruption, the result of governmental nonsense actions.
In past inflationary spirals, inflation acts as a ratchet. It does not easily unwind and when it does unwind, the unwinding is very painful to the average family.
In this case, the ending of inflation will likely be preceded by an excruciatingly painful debasement of the US Dollar. The actions of OPEC in telling the Biden administration to pound sand is a strong indication that the petrodollar is no longer supreme.
The November 2021 off year gubernatorial elections in Blue Virginia and New Jersey will be important straws in the 2022 wind to watch for those who are interested in the swing of the pendulum..