NEW YORK — The City Council empowered Speaker Adrienne Adams on Thursday to take legal action against Mayor Eric Adams over his refusal to implement a set of new housing voucher laws — but the speaker played coy on what exactly comes next. Thursday’s procedural step came in the form of a resolution authorizing the speaker to pursue legal action on behalf of the full Council to compel the mayor to implement the laws, which are designed to expand access to CityFHEPS, a voucher program subsidizing rent for low-income New Yorkers. The measure breezed through the Council in a voice vote with overwh…