📈(frontend) track metadata on recording-started events

I introduced transcript + screen recording modes but forgot
to properly track them in PostHog. Fix this issue.

CHANGELOG.md

@@ -8,6 +8,10 @@ and this project adheres to
 
 ## [Unreleased]
 
+### Changed
+
+- 📈(frontend) track new recording's modes
+
 ## [1.2.0] - 2026-01-05
 
 ### Added

src/frontend/src/features/recording/components/ScreenRecordingSidePanel.tsx

@@ -98,7 +98,10 @@ export const ScreenRecordingSidePanel = () => {
         await notifyParticipants({
           type: NotificationType.ScreenRecordingStarted,
         })
-        posthog.capture('screen-recording-started', {})
+        posthog.capture('screen-recording-started', {
+          includeTranscript: includeTranscript,
+          language: selectedLanguageKey,
+        })
       }
     } catch (error) {
       console.error('Failed to handle recording:', error)

src/frontend/src/features/recording/components/TranscriptSidePanel.tsx

@@ -117,7 +117,10 @@ export const TranscriptSidePanel = () => {
         await notifyParticipants({
           type: NotificationType.TranscriptionStarted,
         })
-        posthog.capture('transcript-started', {})
+        posthog.capture('transcript-started', {
+          includeScreenRecording: includeScreenRecording,
+          language: selectedLanguageKey,
+        })
       }
     } catch (error) {
       console.error('Failed to handle transcript:', error)