Models used to describe and predict inflation commonly distinguish between changes in food and energy prices - which enter into total inflation - and movements in the prices of other goods and services - that is, core inflation.
I wouldn't be surprised to see core PCE inflation actually fall a bit over the next two years
You are seeing some pass through of high energy and commodity prices, import prices, into core inflation.
Higher oil prices may be partly passed through to core inflation at least for a time,