The next Starship launch has been placed on SpaceX's website, though the date is still to be announced there.
Some details bearing on the article is that they are re-flying an engine from the caught 5th flight and that they will attempt to release 10 dummy Starlinks before descent. (Dummy Starlinks, since they will accompany the craft into the Indian Ocean.)
So, while they develop the Starship return capabilities (improved catch mechanism, which was what failed before ditching the last booster, and improved heat shield) they seem set to start orbiting the new, larger Starlinks. As soon as they get orbit approval for the new Starship V2* they will now start testing, of course.
*If it is capable of launching over 100 mt without also having the Booster V2 in the stack I don't know. It seems that booster awaits either a new engine type or the next, higher launch tower - or both. The Booster V2+Starship V3 stack will in any case likely need the 2nd launch tower, relegating the 1st to return catches.