What you are describing is the procedure for motions, under Supreme Court Rule 22. A request for the Court to hear a case is made via a petition for certiorari, which is always acted upon by the full Court, under Supreme Court Rule 15.5.
Yes, you are correct about the motions/stays. My mistake on that one.
However, the full court does not vote on each and every writ of certiorari submitted to them. By not being selected for consideration (conference & discuss list), the cert is “automatically denied.”
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