“Sean Combs: The Reckoning,” a four-part documentary about the Bad Boy Records founder’s rise from music mogul to career fall, is set to make its network debut this week.

On the eve of Netflix releasing a highly anticipated docuseries about Sean “Diddy” Combs — produced by his longtime foe Curtis “50 Cent” Jackson — the embattled mogul’s lawyers have sent a cease-and-d...