Following a75952cf77, this is one more upgrade to the widget communication that I'd like to make within this release cycle.
The motivating issue is https://github.com/element-hq/element-web/issues/29429. Fundamentally, without a 'join' action, the only info Element Web can use to determine whether it's joined the call is whether a MatrixRTC membership exists. But membership state events can inaccurately represent the client's actual state (whether because delayed events aren't supported, or because the delayed event hasn't timed out yet), so I suggest we send a 'join' action here just as we do in the Element Web Jitsi wrapper (e9a3625bd6/src/vector/jitsi/index.ts (L503)) to let Element Web tap directly into the widget's local state. (This will need additional Element Web changes, but is certainly backwards compatible.)
The one place where we should log out of PostHog and reset our analytics ID is when the user is logging out. This matches the behavior in Element Web and makes sense, I think, because logging out is essentially a request for the app to forget who you are. This means we should also start analytics at the point of logging in / reauthenticating.
I noticed while making this change that there was an unused branch in setClient, so I cleaned it up rather than making myself update it.
We shouldn't be calling PosthogAnalytics.instance.logout() when leaving the call in widget mode, because all this does is reset your analytics ID. In the big picture this is probably inflating our user count metrics.
2bb5b020e6 refactored the end of the GroupCallView render function to not use any early returns, and clumsily failed to account for the fall-through case that makes returnToLobby work (as opposed to sitting on a blank screen).
We need compatible versions of RxJS in our dependencies and LiveKit's dependencies, but LiveKit has pinned it to a very specific version which is now holding us back from updating. See https://github.com/livekit/components-js/issues/1101 for a request for a proper solution.
