Hi and welcome to NICO Club!
Lighters go bad, but before replacing the lighter, check the socket it goes into. Plug a USB car charger in there or anything and see if it lights up. If not, then it's the plug, if so, it's the lighter. Double check your fuse. Maybe you did a visual check, but you want to really test with a voltmeter for continuity to see if it's burnt. Obviously, the lighter is easier to replace than the socket. If it's your socket, let me know and I'll try to help you with diagnoses, how to gain access, and where to find the replacement part.