Rep. Barbara Lee on Wednesday told colleagues that she intends to run for the U.S. Senate in 2024, according to a person familiar with the conversation, revealing her plans to join a race that several House Democrats have shown interest in this week. Lee informed fellow members of the Congressional Black Caucus of her thinking, according to the person, who spoke on the condition of anonymity to describe private deliberations. Lee’s remarks did not amount to a formal announcement, said this person, who added that Lee is “getting her ducks in a row and figuring things out” and has spoken...