Gap: on iOS, screen share only worked in native CallKit calls. In a scheduled /
code-joined SFU meeting the webview called setScreenShareEnabled() ->
getDisplayMedia(), which WKWebView does not implement, so it failed silently.
Production meetings are real LiveKit rooms, so we can publish natively instead.
Fix (native ReplayKit -> same LiveKit room as a dedicated screen participant):
- server: /api/meetings/token accepts screen:true -> mints a distinct
<peerId>-screen identity (LiveKit allows one connection per identity), so the
native publisher doesn't collide with the webview's own connection.
- native plugin: startMeetingScreenShare/stopMeetingScreenShare + connectScreenRoom
(a screen-only LiveKit connection: mic off, no camera, no callConnected) that
reuses the existing broadcast-extension publishing path.
- webview: toggleScreen routes to the native method on iOS SFU meetings; the
screenShareState listener now drives the SFU case too (and tears the screen
connection down on the system "Stop Broadcast"); sfuAttach/sfuDetach map the
'<peerId>-screen' participant's screen track onto the sharer's tile and suppress
the phantom person tile + the sharer's own self-view.
Web/server deploy now; the native method needs the next Codemagic build to test
on device. Verified: db-smoke 22/22; Swift braces balanced.
Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>