Americans paid more for their groceries last month, but  high gasoline prices  resulting from the Iran war were only one of the reasons why. Prices for food eaten at home rose 2.9% in April compared to the same month a year earlier, according to  government figures  released Tuesday. That was the highest year-over-year inflation rate for the category since August 2023. Prices at restaurants, fast-food chains and other places to get prepared meals also increased, putting overall food prices up 3.2% in the last year, the Labor Department’s consumer price index showed. People shop in the produce section of a grocery store on May 11, 2026, in Portland, Oregon. AP A general view of $4.55 and $4.67 regular gas prices as seen at a Shell gas station in Hackensack, New Jersey, on May 8, 2026. Christopher Sadowski for NY Post The price of garlic is seen in the produce section of a grocery store on May 11, 2026, in Portland, Oregon.…