In New York City politics, the position of City Council Speaker holds significant influence over local legislation and policy. Adrienne Adams, the current speaker, has been contemplating a run for mayor. Her recent 'State of the City' address is seen as a potential preview of her mayoral campaign. - Adrienne Adams, the NYC Council Speaker, has filed paperwork to form a campaign committee, signaling a potential run for mayor. - Adams' 'State of the City' address highlighted issues of affordability and public safety, potentially forming the core of her campaign platform. - Sources indicate that Adams will make a final decision on whether to enter the mayoral race after her 'State of the City' address. - A potential mayoral run by Adams could present logistical challenges for incumbent Mayor Eric Adams in the Democratic primary. - Adams has positioned herself as a potential 'anti-Trump bulwark', suggesting a focus on progressive policies.