Well, I believe that the Justices meet once a week (usually Thursdays or Fridays) in a conference to discuss which orders, cases they are going to accept, who the f*k betrayed their trust by releasing Dobbs early (HeeeHeeee!), and other important court decisions and then issue their decisions on these meetings on Mondays usually. It will be posted here 1st:. https://www.supremecourt.gov/
I think Amy Howe (check her Tweets) keeps up with this over at scotusblog, just scroll down to the bottom of the page for the calendar.
Not sure if Katie B over at Law 360 keeps up with this but it would be nice to support her somehow as she WAS THE ONLY NEWS OUTLET THAT COVERED THE LAMBERTH TRIAL DAY IN AND OUT.