One of the biggest puzzle pieces of the spring television season recently fit into place with the announcement that the HBO limited series “White House Plumbers” will debut on Monday, May 1. From three of the comedic minds behind the Emmy-winning “Veep” — David Mandel, Alex Gregory and Peter Huyck — this five-part political thriller and satire explores the events of the Watergate break-in from vantage point of two of its masterminds: E. Howard Hunt (Woody Harrelson) and G. Gordon Liddy (Justin Theroux).

In the full trailer, Howard’s wife Dorothy, played by Lena Headey, declares the scheme to re-elect President Richard Nixon by bugging their opponents at the Democratic National Committee, “The stupidest thing I’ve ever heard.” The series begins with the White House employing Hunt and Liddy to investigate the leak of the Pentagon Papers and zeroes in on their subsequent, haphazard schemes to break into the DNC offices; the...