It's been a few days since the last update, and most everything seems to be working fine. At least I've had no major issues like I did with the first and second betas. Apple itself must believe this release is stable enough to the general public testers, and I would have to agree.
There are still a few applications that won't work, oftentimes admitting up front that they aren't ready for this version of macOS, but they aren't anything I use on a daily—or even regular—basis.
Carbon Copy Cloner balks that it wasn't been tested with Sonoma, but still appears to run properly and I have full backups every morning like I always did before. Specialized utilities like OnyX flat out refuse to run, but even some of my more temperamental programs (VueScan and Celestia immediately come to mind) are behaving under Beta 3, whereas they were giving me grief under Beta 2.
Do you like that wallpaper? It comes from something called MyWallpaper, a very reasonably priced app that really lets you add a little wow to your desktop with hundreds of different animated backgrounds. The developer also offers a purely static wallpaper app with all the same images available for free.