The Central Intelligence Agency’s semipublic campaign to convince Russians disaffected by the war in Ukraine to spy for Washington has borne fruit, CIA officials said this week, as the spy agency released a new video aimed directly at Russian government officials. Since last fall, the CIA and Federal Bureau of Investigation have used social-media platforms and public appearances to encourage Russians angered by President Vladimir Putin’s invasion of Ukraine to contact them—and have provided what they say are secure Internet channels to do so. Some Russians have responded, an official involved in the outreach effort said Tuesday. “It is resulting...