Google Chromecast is listed on the iOS 13.1 bug list, but it's working for me.

Complications will disappear from your Apple Watch if it isn't running watchOS 6 beta.

And make sure that you do, because any edits you make to your Screen Time settings on that device before restarting are lost. If you enable Share Across Devices, Screen Time settings don’t sync with iCloud until your iOS device is restarted.Localization bugs are still being rooted out - devices set to use certain languages might exhibit clipped or misaligned layout or display unlocalized text.You might see the message: “Couldn’t connect to iCloud” when creating a new Pages, Numbers, or Keynote document in a shared folder.The offline-finding capability of the Find My app is currently limited.Searching in Notes may still deliver unexpected results.If you're in the developer beta for watchOS 6, you must upgrade to version 2 or later or your iPhone running iOS 13 will no longer connect.That's a shame, because there are an awful lot of them. Since the notes haven't changed, the assumption is that there are no new recorded bug fixes in this release.

Beta profiles 13