Raising interest rates is a good way to control inflation that is caused by excessive demand, particularly if it is being financed with borrowed money. For cost-push inflation, not so much. From an analytical perspective, how should the Fed view supply disruptions caused by the pandemic and the war?
Higher costs caused by extraordinary events should be viewed as the equivalent of an increase in the sales tax. Increasing interest rates to deal with higher taxes is just doubling down on the pain. The appropriate governmental response is to let the consumer deal with the higher costs by limiting his consumption of the goods in question, or, where that isn’t possible, by seeking a less expensive alternative. That is what has happened with gas consumption, and you can see the results for yourself.