DHWRIGHT

Ok cut down a brand new(less than 200 miles) tire last week end. I already bought a new one to replace it but plan to patch the tire and tube the one I cut and replace my spare with it. It has about a 1/2" cut center of side wall. I think this is the size tube I need 10/11/12R-15 tube with a TR13 valve, but not positive. The local tire shop is zero help, maybe some YotaTech members have been down this road and can help me out. By the way truck never gets driven on the road more than around the neighborhood.
Thanks