Dobbs opinion could be released today at or after 10AM ET or sometime next week. No way of knowing yet. Nine cases to be released between now and end of term. Opinions released every 10 minutes starting at 10am on opinion days, in order of reverse seniority of Justice. There can be more than one from any Justice, or none from a Justice, but they come in this order:
Amy Coney Barrett
Brett Kavanaugh
Neil Gorsuch
Elena Kagan
Sonia Sotomayor
Samuel Alito
Stephen Breyer
Clarence Thomas
John Roberts (because he is Chief Justice)
https://www.supremecourt.gov/
https://www.scotusblog.com/
My presumption is that it will be the last announced decision of this session, because of the chaos that will ensue after it’s announced. So as not to make it difficult to complete their work before the break, they will save it until everything else is done.