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/liveProjectionRoutes.test.js

@@ -36,3 +36,25 @@ test('projection success with live input but zero projected channels is exposed
     assert.equal(state.projectedCount, 0);
     assert.equal(state.total, 3);
 });
+
+test('projection status exposes phase-specific Laya progress separately from catalog progress', () => {
+    const state = serializeState({
+        status: 'building',
+        phase: 'laya_identity',
+        started_at: 100,
+        completed_at: null,
+        input_hash: null,
+        projected_count: 0,
+        processed_count: 0,
+        total_count: 12,
+        laya_processed_count: 1,
+        laya_total_count: 2,
+        error: null
+    });
+
+    assert.equal(state.phase, 'laya_identity');
+    assert.equal(state.processed, 0);
+    assert.equal(state.total, 12);
+    assert.equal(state.layaProcessed, 1);
+    assert.equal(state.layaTotal, 2);
+});