feat: add reading_status_push auto-refresh schedule per library

- Migration 0059: reading_status_push_mode / last / next columns on libraries
- API: update_reading_status_provider accepts push_mode and calculates next_push_at
- job_poller: handles reading_status_push pending jobs
- Indexer scheduler: check_and_schedule_reading_status_push every minute
- Backoffice: schedule select in library settings modal

Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>

apps/indexer/src/scheduler.rs

@@ -66,6 +66,68 @@ pub async fn check_and_schedule_auto_scans(pool: &PgPool) -> Result<()> {
     Ok(())
 }
 
+pub async fn check_and_schedule_reading_status_push(pool: &PgPool) -> Result<()> {
+    let libraries = sqlx::query(
+        r#"
+        SELECT id, reading_status_push_mode
+        FROM libraries
+        WHERE reading_status_push_mode != 'manual'
+          AND reading_status_provider IS NOT NULL
+          AND (
+            next_reading_status_push_at IS NULL
+            OR next_reading_status_push_at <= NOW()
+          )
+          AND NOT EXISTS (
+            SELECT 1 FROM index_jobs
+            WHERE library_id = libraries.id
+              AND type = 'reading_status_push'
+              AND status IN ('pending', 'running')
+          )
+          AND EXISTS (
+            SELECT 1 FROM anilist_series_links
+            WHERE library_id = libraries.id
+          )
+        "#
+    )
+    .fetch_all(pool)
+    .await?;
+
+    for row in libraries {
+        let library_id: Uuid = row.get("id");
+        let push_mode: String = row.get("reading_status_push_mode");
+
+        info!("[SCHEDULER] Auto-pushing reading status for library {} (mode: {})", library_id, push_mode);
+
+        let job_id = Uuid::new_v4();
+        sqlx::query(
+            "INSERT INTO index_jobs (id, library_id, type, status) VALUES ($1, $2, 'reading_status_push', 'pending')"
+        )
+        .bind(job_id)
+        .bind(library_id)
+        .execute(pool)
+        .await?;
+
+        let interval_minutes: i64 = match push_mode.as_str() {
+            "hourly" => 60,
+            "daily" => 1440,
+            "weekly" => 10080,
+            _ => 1440,
+        };
+
+        sqlx::query(
+            "UPDATE libraries SET last_reading_status_push_at = NOW(), next_reading_status_push_at = NOW() + INTERVAL '1 minute' * $2 WHERE id = $1"
+        )
+        .bind(library_id)
+        .bind(interval_minutes)
+        .execute(pool)
+        .await?;
+
+        info!("[SCHEDULER] Created reading_status_push job {} for library {}", job_id, library_id);
+    }
+
+    Ok(())
+}
+
 pub async fn check_and_schedule_metadata_refreshes(pool: &PgPool) -> Result<()> {
     let libraries = sqlx::query(
         r#"