N.M. Stat. § 45-3-801
Notice to creditors.
A. A personal representative upon appointment may publish a notice to creditors
once a week for three successive weeks in a newspaper of general circulation in the
county in which the probate proceeding is pending, announcing the personal
representative's appointment and address and notifying creditors of the estate to
present their claims within four months after the date of the first publication of the notice
or be forever barred.
B. A personal representative may give written notice by mail or other delivery to a
creditor, announcing the personal representative's appointment and address and
notifying the creditor to present the creditor's claim within four months after the
published notice, if given as provided in Subsection A of this section, or within sixty days
after the mailing or other delivery of the notice, whichever is later, or be forever barred.
C. The personal representative is not liable to anyone for giving or failing to give
notice pursuant to this section.