The city’s youth development programs are diminishing after a slew of budget cuts. The Office of Youth Development was one of many city programs that suffered from cuts when the city resolved a $43 million budget gap in June. The office, which launched in 2007, was gutted. It is no longer an office — its programs are now part of the Parks and Recreation Department. An Aug. 8 document on the city’s website said the Office of Youth Development is not looking for new funding. And the position of director and two neighborhood youth resource coordinator jobs were chopped, leaving only one remaining staffer from the office.  “It’s not going to be the proactive group that it was,” Lori Harde