The new political comedy, about an aspiring rapper who becomes an unlikely mayor, is produced by “Hamilton” star Daveed Diggs and has been getting raves from TV critics.

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“The Mayor”

The good-natured political comedy is on many critics’ lists of best new shows this year, but has been struggling in the ratings. Brandon Micheal Hall stars as Courtney Rose, as an aspiring rapper who runs for mayor as a publicity stunt, then unexpectedly wins the race and learns to deal with the challenges of the job. The series is produced by “Hamilton” star Daveed Diggs, who also writes Courtney’s original music; 9:30 p.m. Tuesday on KOMO.

Also on Tuesday

“Lethal Weapon,” 8 p.m. (KCPQ): Murtaugh and Riggs investigate a death that occurred moments before the person was going to win a horse-racing bet.

“Blackish,” 9 p.m. (KOMO): Diane experiences a big life event; Dre uses psychological warfare on Junior before challenging him to a game of basketball.

“DC’s Legends of Tomorrow,” 9 p.m. (KSTW): The Legends hunt a time-traveling vampire in London; Amaya tries to connect with Zari.

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“The Curse of Oak Island,” 9 p.m. (HISTORY): Season five premiere; treasure-hunting brothers search the island near Nova Scotia that has intrigued treasure hunters for 200 years.

“The Long Road Home,” 9 p.m. (NAT GEO): Historical drama series premiere; the U.S. 1st Cavalry Division launches a rescue mission when a platoon is ambushed by enemy insurgents in Baghdad in 2004.

“NCIS: New Orleans,” 10 p.m. (KIRO): The team investigates a clinical trial of brain implants tested on veterans; Patton must work alongside his ex-wife.

“Damnation,” 10 p.m. (USA): Premiere of a series on secret history in the 1930s American heartland; when a farmers strike led by a local preacher escalates, a man from his past is sent to restore order.

“Mystery of the Lost Islands,” 10 p.m. (ANIMAL PLANET): Series premiere; predator specialist journeys to an island in the South Pacific that’s home to a large concentration of sharks.

Madeline McKenzie: mmckenzie@seattletimes.com.

Program information from The Seattle Times online TV Listings; program times may vary depending on your cable provider or service.