It’s happening: Mayor Bloomberg introduced the bill to extend term limits from two to three terms today. Right now, council members believe the vote could go either way. There are some powerful opponents of the bill, like billionaire Ronald Lauder and City Councilman Charles Barron, who has announced that he will not seek a third term even if the term limits are extended. Still, 35 Council members and four of the five borough presidents are nearing the end of their second terms, and could provide strong backing for the bill.