Generalize tracked-data cache from Lidarr-only to all three arrs

Shared cache/rescan-duration logic in common.sh now takes an arr_type
param instead of being Lidarr-specific, so Sonarr and Radarr cleanup
scripts get the same cache-first fetch + rescan-aware retry Lidarr had.
Avoids redundant full-library API calls across scripts run back to back,
and stops false failures when a fetch lands mid-rescan.

Deployment/master.conf.template

@@ -300,7 +300,7 @@
         "unRAID_Essentials/php_fpm_max_children.sh"   # WebGUI performance tuning
         "unRAID_Essentials/inotify_tuning.sh"         # bump inotify limits — containers miss events if exhausted
         "Docker_Essentials/docker_network_connect.sh" # ensure networks exist + connect containers
-        "Arrs_Stack/lidarr_cache_prefill.sh"           # warm Lidarr tracked-data cache before anything reads it cold
+        "Arrs_Stack/arr_cache_prefill.sh"               # warm Lidarr/Sonarr/Radarr tracked-data caches before anything reads them cold
         "Arrs_Stack/start_webhook_listener.sh"             # arr upgrade webhook listener — continuous
         "Fallback/fallback.sh"                        # mutual failover — continuous
     )
@@ -1101,7 +1101,7 @@
     LIDARR_CACHE_FILE="$DATA_DIR/lidarr_tracked_cache.json"
     LIDARR_RESCAN_DURATION_DB="$DATA_DIR/lidarr_rescan_duration.db"
     LIDARR_CACHE_MAX_AGE_DAYS=1     # force a live refresh (or rescan-aware wait) past this age
-    LIDARR_PREFILL_WAIT_MINUTES=10  # array-start prefill: how long to retry reaching Lidarr
+    ARR_PREFILL_WAIT_MINUTES=10     # array-start prefill: how long to retry reaching each arr
     LIDARR_EXTENSIONS=("flac" "mp3" "m4a" "wav" "aac" "ogg" "opus" "wma")
     LIDARR_PROTECTED_PATTERNS=(
         # Metadata