fix: prevent background Laya rebuilds during playback

Ensure automatic live projection rebuilds use the algorithmic path so Laya identity batches are not launched during live list playback or background sync.

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

test/liveProjectionService.test.js

@@ -121,6 +121,28 @@ test('manual rebuild scheduling coalesces concurrent requests', async () => {
     assert.equal(runs, 1);
 });
 
+test('startRebuild passes business options to the runner without infrastructure options', async () => {
+    let runnerOptions;
+    const result = startRebuild({}, {
+        mode: 'algo',
+        layaClient: { identityHintBatch: async () => [] },
+        mark: () => ({ status: 'building' }),
+        runner: async (_database, options) => {
+            runnerOptions = options;
+            return { status: 'success' };
+        },
+        schedule: callback => callback()
+    });
+
+    await result.promise;
+    assert.equal(runnerOptions.mode, 'algo');
+    assert.equal(typeof runnerOptions.layaClient.identityHintBatch, 'function');
+    assert.equal(runnerOptions.stateAlreadyBuilding, true);
+    assert.equal('mark' in runnerOptions, false);
+    assert.equal('runner' in runnerOptions, false);
+    assert.equal('schedule' in runnerOptions, false);
+});
+
 test('Laya rebuild progress advances after a successful identity batch while analysis is still running', async () => {
     const db = createProjectionDb();
     for (let index = 0; index < 12; index++) {