N.M. Stat. § 30-37-4
Notice; prosecution.
A. No prosecution based under this act shall be commenced unless the district
attorney of the county in which the offense occurs shall have previously determined that
the matter or performance is harmful to minors and the defendant shall have received
actual or constructive notice of such determination. Persons shall be presumed to have
constructive notice of such determination on the fifth business day following publication
of a notice of such determination in a newspaper of general circulation in the county in
which the prosecution takes place.
B. Any person adversely affected by such determination may, at any time within
thirty days after such notice is given, seek a judicial determination of its correctness.
The court shall, unless otherwise agreed by the parties, render judgment not later than
two court days following trial. Filing of an action under this section shall stay prosecution
until a judicial determination is rendered, but no appeal shall have such effect unless so
ordered by the trial court.
C. No criminal action shall be commenced in any other judicial district within this
state during the pendency of the civil action authorized by Subsection B of Section 4
[this section] regarding the same matter, exhibition or performance.