Same issue for me. Currently on beta 2 and every attempt at Siri on my phone says “one sec” or “sorry something went wrong…” I have filled out the feedback form. It’s super annoying. My watch works just fine.

I downloaded beta 3 and still have issues. I am currently downgrading back to iOS 15.5 to see if this resolves it. Other than this Siri issue, which I logged in the Feedback app, iOS 16 has been good.