feat(engagement): localize limits and streaks

Use reported user timezones for daily response limits, expose couple streak state and reminders, and improve swipe and live-drawing synchronization with focused tests and documentation.

apps/api/test/api.integration.test.ts

@@ -28,7 +28,8 @@ describe.skipIf(!databaseUrl || !localDatabase)('API + PostgreSQL integration',
     isolatedUrl.searchParams.set('options', `-c search_path=${schema}`);
     pool = new Pool({ connectionString: isolatedUrl.toString() });
     repository = new PostgresRepository(isolatedUrl.toString());
-    const migration = await readFile(new URL('../drizzle/0000_identity_and_feature_interests.sql', import.meta.url), 'utf8');
+    const migration = (await Promise.all(['0000_identity_and_feature_interests.sql','0013_daily_limit_local_reset.sql']
+      .map((name) => readFile(new URL(`../drizzle/${name}`, import.meta.url), 'utf8')))).join('\n--> statement-breakpoint\n');
     for (const statement of migration.split('--> statement-breakpoint')) {
       if (statement.trim()) await pool.query(statement);
     }