Funny you say that...
> Ranchers stopped shipping their cattle to the market, farmers drowned their chickens, and consumers emptied the shelves of supermarkets.
https://www.pbs.org/wgbh/commandingheights/shared/minitextlo...
Hungary has more than two times the inflation of the EU average. The highest in the EU.
Price controls on flour and gas/petrol led to people buying a lot more compared to supply. This led to gas stations closing. People started baking more, but price of bread exploded because folks bought flour and bakeries were in a tight spot (I don't remember the exact chain of events).
Of course grocery shops increased the price of everything else relatively to make up for the loss on the controlled items.
Clearly, tackling inflation should be independent from providing basic necessities like food and shelter and healthcare.
The necessity of rationing assumes that demand is outstripping supply. That's not the case when corporations are price gouging. Egg farms are not selling more eggs than ever before, nor would they if prices were exactly what they were before COVID.
Furthermore the harmful side effects of price controls are often exaggerated. Again, egg farmers are not going to suddenly just kill all of their chickens and switch to building datacenters because we only implemented price controls on necessities like food. Nixon's price controls went fine, as but one example.
Finally, your solution of raising rates does not decrease the need for basic staples like food, so it's not a solution at all. Who cares if inflation for Tesla's or SUVs are at 8% or higher, that's a rich person problem. What matters is the inflation for necessary goods and services, like food and shelter, and your suggested "solution" doesn't really solve anything. All it does is maybe put people who need the money out of work.