A "gubernatorial run" refers to someone's campaign or attempt to become the governor, which is the highest-ranking political position in a state. Full definition
Once upon a time, Cuomo, who won 63 percent of the vote against Buffalo businessman Carl Paladino in 2010, was hoping to best his father's more than 64 percent win in his first gubernatorial run in 1986. (nystateofpolitics.com)
State Senate Deputy Majority Leader John DeFrancisco and Dutchess County Executive Marcus Molinaro are also considering gubernatorial runs. (nydailynews.com)
But the current field pits a state delegate against Corey Stewart — Trump's former state chair who failed in his 2017 gubernatorial run as a defender of Confederate «heritage» — and E.W. Jackson. (politico.com)