Probably the strongest card they'd have to save themselves.
Also deputize all investigators of fraud and tell them to explicitly arrest anyone who stonewalls you including judges.
They won't due it, of course, but citizens should demand explicitly that. The Puppet's handlers fear the truth.
Why would they? The people that “matter” in NM politics are all democrats. They only need to rig the votes in Albuquerque and the whole state goes blue.