The race for New York City mayor is beginning to heat up, with Council Speaker Adrienne Adams officially throwing her hat in the ring, and some of the other candidates making policy announcements on their campaign trail.

She got an early, positive reception from the city’s public advocate, Jumaane Williams, who is first in line to replace the mayor if he were to resign. Williams, a self-described activist elected official, has already backed City Comptroller Brad Lander’s candidacy but offered warm words for Speaker Adams.

Though Mayor Eric Adams might soon be clear of his pending legal case, his bid for reelection is still likely to face some challenges. A Quinnipiac University poll released Wednesday found that only 20 percent of New York City voters approve of Adams’s handling of his job,