feat(caption): stream live captions and polish finished lines in context

Replaces the fixed six-second batches with a streaming track per audio
source: the uncommitted audio is re-recognised every second and sent as a
partial with its agreed (stable) prefix, a short pause finalises the line,
and long unbroken speech is committed at Whisper segment boundaries. Idle
audio is trimmed so silence cannot produce invented sentences.

Finished lines are corrected by the local model against the previous lines
and replaced in place; edits that change too much are rejected. The
behaviour can be switched off in Settings.

packages/core/src/ipc-channels.ts

@@ -249,6 +249,8 @@ export const IPC_CHANNELS = {
     SYSTEM_AUDIO_DATA: 'caption:systemAudioData',
     // Main → Renderer events
     SEGMENT: 'caption:segment',
+    /** 확정된 줄을 문맥 다듬기로 고친 결과 { id, text } */
+    SEGMENT_UPDATED: 'caption:segmentUpdated',
     DELTA: 'caption:delta',
     STATE_CHANGED: 'caption:stateChanged',
     SESSION_SAVED: 'caption:sessionSaved',