New Mexico to offer free college tuition to all state residents

If a student is a late bloomer who did poorly in high school (e.g. < 2.5 HS GPA, or needs remedial courses), or if s/he take gap year(s) for reasons other than military service or religious missions, could s/he later earn his/her way into this tuition-free program after some amount of acceptable college work completed (as a tuition paying student)?