ALBANY — Zephyr Teachout has passed her final exam and will remain on the ballot to challenge Gov. Cuomo in the September Democratic primary.

In a unanimous decision, the Appellate Division in Brooklyn ruled that the governor’s campaign had failed to prove that Teachout did not meet the five-year residency requirement to run for governor.

A lower court had previously also upheld her right to run.

After two strikes, Cuomo campaign spokesman Peter Kauffmann said there are no plans to appeal a third time to the Court of Appeals, the state’s highest court.

Teachout — a little-known Fordham Law School professor — has spent at least $50,000 fighting Cuomo’s challenge.