fix: show live Laya analysis progress (#21)

Track the Laya identity phase separately from catalog projection progress and expose phase-specific counters through the live status API and Settings presentation.

Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>

test/liveAnalysisUserFlowDom.test.js

@@ -92,6 +92,43 @@ function projectedChannels() {
     };
 }
 
+test('Settings renders Laya batch progress and removes misleading values when its total is unknown', () => {
+    const { window } = createDom();
+    const settingsPage = Object.create(window.SettingsPage.prototype);
+    settingsPage.app = { player: { settings: { languageDetectionMode: 'hybrid' } } };
+    settingsPage.layaStatus = { modelPresent: true, runtimeAvailable: true };
+
+    settingsPage.renderLiveAnalysisStatus({
+        status: 'building',
+        phase: 'laya_identity',
+        layaProcessed: 3,
+        layaTotal: 8,
+        processed: 0,
+        total: 39348
+    });
+
+    const track = window.document.getElementById('live-analysis-progress-track');
+    const bar = window.document.getElementById('live-analysis-progress-bar');
+    assert.equal(window.document.getElementById('live-analysis-status').textContent, 'Analyzing with local AI…');
+    assert.equal(window.document.getElementById('live-analysis-progress-text').textContent, 'AI batch 3 of 8 · 38%');
+    assert.equal(track.getAttribute('aria-valuenow'), '38');
+    assert.equal(bar.style.width, '38%');
+
+    settingsPage.renderLiveAnalysisStatus({
+        status: 'building',
+        phase: 'laya_identity',
+        layaProcessed: 0,
+        layaTotal: null,
+        processed: 0,
+        total: 39348
+    });
+
+    assert.equal(window.document.getElementById('live-analysis-progress-text').textContent, 'In progress…');
+    assert.equal(track.classList.contains('indeterminate'), true);
+    assert.equal(track.hasAttribute('aria-valuenow'), false);
+    assert.equal(bar.style.width, '');
+});
+
 test('user analysis click keeps visible channels after Local AI language failure', async () => {
     const { window } = createDom();
     let rebuildClicked = 0;