Officials on Tuesday took a step toward securing four additional years of relief from a widely criticized state law that allows developers to skirt local planning decisions in towns such as New Canaan, where a low percentage of all housing stock qualifies as “affordable” under the state’s narrow definition. The Board of Selectmen voted 2-0 to approve $170,000 to be transferred from a specially designated town fund to the New Canaan Housing Authority. That agency is working with Canaan Parish, a Section 8 housing complex at Lakeview Avenue and Route 123, on plans to redevelop the apartments there with greater density in order to better use the land there and help New Canaan achieve a second four-year “moratorium” under the state law. Early-stage plans call for the 60-unit development to get to about 100 total units, Housing Authority Board Secretary Bernard Simpkin told the selectmen at their regular meeting, held in Town Hall. “We’ve already chosen an architect and now the next stage is doing the design, the engineering and all those things,” Simpkin said.