  We study a pair consisting of a smooth 3-fold defined over an algebraically
closed field and a general real ideal. We show that the minimal log discrepancy
of every such a pair is computed by a prime divisor obtained by at most two
weighted blow-ups. This bound is regarded as a weighted blow-up version of
Mustata-Nakamura Conjecture. We also show that if the mld of such a pair is not
less than 1, then it is computed by at most one weighted blow-up. As a
consequence, ACC of mld holds for such pairs.
