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/i18n/src/locales/ja.json

@@ -522,5 +522,7 @@
   "input.feedback.recommendationFailed": "{{app}} を除外に追加できませんでした。",
   "popup.caption.loading": "音声モデルを準備中…",
   "popup.caption.waiting": "聞き取り中… 最初の字幕まで数秒かかることがあります",
-  "popup.caption.dragHint": "ドラッグで移動 · ダブルクリックで元の位置"
+  "popup.caption.dragHint": "ドラッグで移動 · ダブルクリックで元の位置",
+  "settings.captionRefine": "文脈で字幕を整える",
+  "settings.captionRefine.desc": "確定した字幕の区切り・句読点・聞き間違いを、ローカルAIが前後の文脈に合わせて直します。"
 }