DETROIT — The Detroit Tigers made an unusual bet on a player with no major league experience, agreeing Sunday to a six-year contract with 22-year-old Colt Keith that guarantees the infield prospect $28,642,500. Detroit has a $10 million option for 2030 with a $2,642,500 buyout, a $13 million option for 2031 with a $1 million buyout and a $15 million …