Former “Celebrity Apprentice” star Cyndi Lauper is taking another crack at reality TV. The “True Colors” singer has started filming a WE network series with the working title “Cyndi” that’s slated to air this summer. The show will follow the pop star to recording sessions and on tour — as well as her life with husband David Thornton of “Law & Order: SVU.” To prep for production, Lauper, known for often sporting a multihued ’do, was seen hitting colorist Louis Licari’s Fifth Avenue salon yesterday.