feat(desktop): send meeting transcript segments and preset prompt edits to the phone

The phone draws a meeting from its transcript segments before the edited
transcript, so desktop edits, auto-polish and diarization never showed there.
Every desktop transcript change now rebuilds the meeting's segments from its
[MM:SS] [speaker] lines and trims the rest; the line parser moves to
@d3ro/core/meeting-transcript and the meeting view uses it too.

Prompt edits of the four desktop presets that exist on the phone update the
server preset row (a reset restores its default; {{targetLanguage}} is sent
as English, the only target on both sides), and edits made on another desktop
come back. The free-prompt preset has no phone counterpart and stays local.

apps/desktop/src/main/services/sync/sync-adapters.ts

@@ -18,6 +18,7 @@ import { getDictationTemplateService } from '../DictationTemplateService'
 import { getMeetingDocTemplateService } from '../MeetingDocTemplateService'
 import { getRAGService } from '../RAGService'
 import { purgeRemoteAudio } from './audio-sync'
+import { pushMeetingSegments } from './transcript-sync'
 import { dropEntry } from './sync-outbox'
 import {
   SyncRemoteError,
@@ -441,6 +442,17 @@ const meetingsAdapter: SyncAdapter = {
       'meetings',
       rows.map((r) => ({ id: r.id, row: meetingToRemote(r, ctx.userId) }))
     )
+    // 회의 행이 올라간 뒤 전사 구간을 맞춘다 — 폰은 구간이 있으면 구간을 그린다.
+    const byId = new Map(rows.map((r) => [r.id, r]))
+    for (const outcome of outcomes) {
+      const row = byId.get(outcome.id)
+      if (outcome.error !== null || !row) continue
+      try {
+        await pushMeetingSegments(ctx, row)
+      } catch (err) {
+        outcome.error = toSyncRemoteError(err)
+      }
+    }
     return [...outcomes, ...missingAsDone(ids, found)]
   },
   async pushDeletes(ctx, ids) {