At first glance, it looked like so many other photos posted on social media, the kind taken by excited travelers en route. The wing of a plane, juxtaposed against fluffy white clouds, with the sun streaming through. The caption read: “U.S.A. here we go.” On board that August flight from Jakarta to Los Angeles were Kaesang Pangarep, the younger son of President Joko Widodo of Indonesia, and Mr. Kaesang’s wife, Erina Gudono. Dels of the trip trickled out on Ms. Erina’s social media accounts: a $1,500 stroller for their soon-to-be-born baby and a $25 lobster roll for lunch. Her posts were seen as tone deaf and led to an uproar at home because most Indonesians cannot afford luxury items. But what made many furious was the fact that the couple traveled on a private jet. It was the antithesis of the Everyman image Mr. Joko has long projected. The plane was linked to Shopee, the operator of an onlin

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