Keep live Whisper segments on screen without a page refresh.

Treat streamed chunks as appends, stop Livewire from remorphing the Alpine tree, and hydrate from HTTP while a run is active so segment cards appear as they arrive.

tests/Feature/TranscriptionBroadcastTest.php

@@ -330,6 +330,35 @@ class TranscriptionBroadcastTest extends TestCase
         $this->assertSame(-0.1, $recording->transcription_verbose['segments'][0]['avg_logprob']);
     }
 
+    public function test_consecutive_live_whisper_segments_are_appended(): void
+    {
+        Event::fake([RecordingTranscriptionUpdated::class]);
+
+        $recording = Recording::query()->create([
+            'user_id' => $this->user->id,
+            'title' => 'Append live',
+            'original_filename' => 'append.mp3',
+            'file_path' => 'recordings/append.mp3',
+            'file_size_bytes' => 100,
+            'transcription_status' => 'processing',
+            'transcription_driver' => 'local',
+            'transcription_started_at' => now(),
+        ]);
+
+        $recording->reportProgress('Transcribing locally…', 40, partialTranscript: "didn't I wasn't aware", whisperDelta: [
+            'language' => 'en',
+            'segment' => ['id' => 0, 'text' => "didn't I wasn't aware", 'start' => 254.5, 'end' => 260.8],
+        ]);
+        $recording->refresh()->reportProgress('Transcribing locally…', 45, partialTranscript: "didn't I wasn't aware other people", whisperDelta: [
+            'language' => 'en',
+            'segment' => ['id' => 0, 'text' => 'other people', 'start' => 260.8, 'end' => 267.4],
+        ]);
+
+        $recording->refresh();
+        $this->assertCount(2, $recording->transcription_verbose['segments']);
+        $this->assertSame('other people', $recording->transcription_verbose['segments'][1]['text']);
+    }
+
     public function test_oversized_transcript_delta_is_not_broadcast(): void
     {
         $recording = Recording::query()->create([